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MATH-4040: Introduction to Topology
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<meta property="og:title" content="MATH-4040: Introduction to Topology">
<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">
Introduction to Topology
</h1>
<h2 id="code">
MATH-4040
</h2>
<p>
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.
</p>
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4 credits
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Prereqs:
</div>
<div id="prereq-classes" class="rel-info-courses">
<a class="course-pill" href="MATH-4090">MATH-4090 Foundation of Analysis</a>
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<table id="years-table">
<thead>
<tr>
<th></th>
<th class="spring season-label">Spring</th>
<th class="summer season-label" colspan="2">Summer</th>
<th class="fall season-label">Fall</th>
</tr>
<tr>
<th colspan="2"></th>
<th class="summer2 midsum-label">(Session 1)</th>
<th class="summer3 midsum-label">(Session 2)</th>
<th></th>
</tr>
</thead>
<tbody>
<tr>
<th class="year">2023</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2022</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<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=202209&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 26/45
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2021</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2020</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<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=202009&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 27/50
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2019</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2018</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<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=201809&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 14/30
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2017</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2016</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2015</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2014</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<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=201409&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
</span>
<ul class="prof-list">
<li>Michael Zuker</li>
</ul>
<span class="course-capacity">
Seats Taken: 9/30
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2013</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2012</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<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=201209&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
</span>
<ul class="prof-list">
<li>Victor Roytburd</li>
</ul>
<span class="course-capacity">
Seats Taken: 16/40
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2011</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2010</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<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=201009&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
</span>
<ul class="prof-list">
<li>Mark H Holmes</li>
</ul>
<span class="course-capacity">
Seats Taken: 19/30
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2009</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2008</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<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=200809&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 12/30
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2007</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2006</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<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=200609&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
</span>
<ul class="prof-list">
<li>Bruce Piper</li>
</ul>
<span class="course-capacity">
Seats Taken: 15/30
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2005</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2004</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<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>
</ul>
<span class="course-capacity">
Seats Taken: 14/30
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2003</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2002</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<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=200209&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
</span>
<ul class="prof-list">
<li>Thomas Pok-Yin Yu</li>
</ul>
<span class="course-capacity">
Seats Taken: 6/20
</span>
</div>
</td>
</tr>
<tr>
<th class="year">2001</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">2000</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<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=200009&subj_in=MATH&crse_in=4040&schd_in=">Intro To Topology (4c)</a>
</span>
<ul class="prof-list">
<li>Thomas Pok-Yin Yu</li>
</ul>
<span class="course-capacity">
Seats Taken: 10/30
</span>
</div>
</td>
</tr>
<tr>
<th class="year">1999</th>
<td class="term spring not-offered">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall not-offered">
</td>
</tr>
<tr>
<th class="year">1998</th>
<td class="term spring unscheduled">
</td>
<td colspan="2" class="term summer not-offered">
</td>
<td class="term fall offered">
<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=199809&subj_in=MATH&crse_in=4040&schd_in=">Introduction To Topology (4c)</a>
</span>
<ul class="prof-list">
<li>Jennifer L Mueller</li>
</ul>
<span class="course-capacity">
Seats Taken: 4/20
</span>
</div>
</td>
</tr>
</tbody>
</table>
</div>
</div>
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