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MATH-4040: Introduction to Topology
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<meta property="og:title" content="MATH-4040: Introduction to Topology">
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<meta property="og:description" content="Topics include general topological spaces, connectedness, compactness, continuity, and product spaces. Additional topics may be chosen from identification spaces, homotopy, the fundamental group, covering maps, lifts, classification of surfaces, Baire category, dimension, and the Jordan curve theorem.">
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<h1 id="name">
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Introduction to Topology
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</h1>
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<h2 id="code">
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MATH-4040
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</h2>
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<p>
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Topics include general topological spaces, connectedness, compactness, continuity, and product spaces. Additional topics may be chosen from identification spaces, homotopy, the fundamental group, covering maps, lifts, classification of surfaces, Baire category, dimension, and the Jordan curve theorem.
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</p>
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4 credits
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Prereqs:
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</div>
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<div id="prereq-classes" class="rel-info-courses">
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<a class="course-pill" href="MATH-4090">MATH-4090 Foundation of Analysis</a>
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Past Term Data
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Detailed View
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<table id="years-table">
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<thead>
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<tr>
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<th></th>
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<th class="spring season-label">Spring</th>
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<th class="summer season-label" colspan="2">Summer</th>
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<th class="fall season-label">Fall</th>
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</tr>
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<tr>
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<th colspan="2"></th>
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<th class="summer2 midsum-label">(Session 1)</th>
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<th class="summer3 midsum-label">(Session 2)</th>
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<th></th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<th class="year">2024</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer unscheduled">
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</td>
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<td class="term fall unscheduled">
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</td>
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</tr>
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<tr>
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<th class="year">2023</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2022</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202209&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Bruce Piper</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 26/45
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2021</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2020</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=202009&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Bruce Piper</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 27/50
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2019</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2018</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201809&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Bruce Piper</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 14/30
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2017</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2016</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2015</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2014</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201409&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Michael Zuker</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 9/30
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2013</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2012</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201209&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Victor Roytburd</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 16/40
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2011</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2010</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=201009&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Mark H Holmes</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 19/30
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2009</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2008</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200809&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
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</span>
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<ul class="prof-list">
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<li>Bruce Piper</li>
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</ul>
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<span class="course-capacity">
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Seats Taken: 12/30
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2007</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2006</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
|
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<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200609&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
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</span>
|
|
<ul class="prof-list">
|
|
<li>Bruce Piper</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 15/30
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</span>
|
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</div>
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</td>
|
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</tr>
|
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<tr>
|
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<th class="year">2005</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
|
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<th class="year">2004</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
|
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<div class="view-container detail-view-container">
|
|
<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200409&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
|
|
</span>
|
|
<ul class="prof-list">
|
|
<li>Chjan C Lim</li>
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|
</ul>
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|
<span class="course-capacity">
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|
Seats Taken: 14/30
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</span>
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</div>
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</td>
|
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</tr>
|
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<tr>
|
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<th class="year">2003</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2002</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
|
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<div class="view-container detail-view-container">
|
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<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200209&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
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</span>
|
|
<ul class="prof-list">
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|
<li>Thomas Pok-Yin Yu</li>
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|
</ul>
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<span class="course-capacity">
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Seats Taken: 6/20
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</span>
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</div>
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</td>
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</tr>
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<tr>
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<th class="year">2001</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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</td>
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</tr>
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<tr>
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<th class="year">2000</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
|
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<span class="term-course-info">
|
|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=200009&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
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</span>
|
|
<ul class="prof-list">
|
|
<li>Thomas Pok-Yin Yu</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 10/30
|
|
</span>
|
|
</div>
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</td>
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</tr>
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<tr>
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<th class="year">1999</th>
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<td class="term spring not-offered">
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</td>
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<td colspan="2" class="term summer not-offered">
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</td>
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<td class="term fall not-offered">
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|
</td>
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</tr>
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|
<tr>
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|
<th class="year">1998</th>
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|
<td class="term spring unscheduled">
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</td>
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|
<td colspan="2" class="term summer not-offered">
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|
</td>
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<td class="term fall offered">
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<div class="view-container detail-view-container">
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<span class="term-course-info">
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|
<a href="https://sis.rpi.edu/rss/bwckctlg.p_disp_listcrse?term_in=199809&subj_in=MATH&crse_in=4040&schd_in=">Introduction To Topology (4c)</a>
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</span>
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|
<ul class="prof-list">
|
|
<li>Jennifer L Mueller</li>
|
|
</ul>
|
|
<span class="course-capacity">
|
|
Seats Taken: 4/20
|
|
</span>
|
|
</div>
|
|
</td>
|
|
</tr>
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</tbody>
|
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</table>
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</div>
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</div>
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</body>
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</html>
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