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Browse subject: Topology | The Online Books Page
<!DOCTYPE html> <html lang="en"><head> <meta charset="utf-8"> <link rel="stylesheet" type="text/css" href="https://onlinebooks.library.upenn.edu/olbp.css" /> <meta name="viewport" content="width=device-width, initial-scale=1.0"> <title>Browse subject: Topology | The Online Books Page</title></head> <body> <header> <h1><a href="https://onlinebooks.library.upenn.edu/" class="logolink">The Online Books Page</a></h1> </header> <form style="text-align:center; padding-bottom:1em" method="GET" action="https://onlinebooks.library.upenn.edu/webbin/book/browse"> Browsing subject area: <b>Topology</b> (<a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Topology&c=x">Include extended shelves</a>)<br>You can also <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=subject&key=Topology&c=x">browse an alphabetical list</a> from this subject or from: <input type="hidden" name="type" value="subject"> <input type="hidden" name="c" value="x"> <input name="key" size=10 value=""></form> <table style="margin-top=2.5em"><tr> <td style="width:40%; vertical-align:top"><h2 style="margin: 0; padding:0; border:0">Topology</h2><p>See also what's at <a href="https://en.wikipedia.org/wiki/Topology">Wikipedia</a>, <a href="https://onlinebooks.library.upenn.edu/webbin/ftl?su=Topology">your library</a>, or <a href="https://onlinebooks.library.upenn.edu/webbin/ftl?su=Topology&library=0CHOOSE0">elsewhere</a>.</p> <b>Broader terms:</b><ul><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Geometry">Geometry</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Polyhedra">Polyhedra</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Set%20theory">Set theory</a></li></ul><b>Related term:</b><ul><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Algebras%2c%20Linear">Algebras, Linear</a></li></ul><b>Narrower terms:</b><ul><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Topology%20%2d%2d%20Congresses">Topology -- Congresses</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Topology%20%2d%2d%20Periodicals">Topology -- Periodicals</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Topology%20%2d%2d%20Textbooks">Topology -- Textbooks</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Algebraic%20topology">Algebraic topology</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Banach%20spaces">Banach spaces</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Categories%20%28Mathematics%29">Categories (Mathematics)</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Combinatorial%20topology">Combinatorial topology</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Differential%20topology">Differential topology</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Dimension%20theory%20%28Topology%29">Dimension theory (Topology)</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Games%20of%20strategy%20%28Mathematics%29">Games of strategy (Mathematics)</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Graph%20theory">Graph theory</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Homotopy%20theory">Homotopy theory</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Lattice%20theory">Lattice theory</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Linear%20topological%20spaces">Linear topological spaces</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Manifolds%20%28Mathematics%29">Manifolds (Mathematics)</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Mappings%20%28Mathematics%29">Mappings (Mathematics)</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Metric%20spaces">Metric spaces</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Surgery%20%28Topology%29">Surgery (Topology)</a></li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Topological%20manifolds">Topological manifolds</a></li></ul><b>Used for:</b><ul><li>Analysis situs</li> <li>Position analysis</li> <li>Rubber-sheet geometry</li> </ul></td><td style="width:60%; vertical-align:top"> <!-- calling substitute with 6 works --> <!-- substitute returned with 6 works --> <b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Topology">Topology</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56812"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/books/gtop.pdf"><cite>Geometric Topology: Localization, Periodicity and Galois Symmetry (The 1970 MIT Notes)</cite> (electronic edition, ca. 2005)</a>, by Dennis Sullivan, ed. by Andrew Ranicki (PDF in the UK)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp32854"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www1.elsevier.com/homepage/sac/opit/toc.htm"><cite>Open Problems in Topology</cite> (1990)</a>, ed. by J. van Mill and George M. Reed (PDF at Elsevier)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp19437"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://archive.org/details/functionalanalys017173mbp"><cite>Functional Analysis and Semi-Groups</cite> (New York: American Mathematical Society, 1948)</a>, by Einar Hille (multiple formats at archive.org)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp21961"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://catalog.hathitrust.org/Record/000431069"><cite>Algebraic Topology</cite> (American Mathematical Society Colloquium Publications v27; c1942)</a>, by Solomon Lefschetz (page images at HathiTrust)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp83060"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://catalog.hathitrust.org/Record/000431089"><cite>Analytic Topology</cite> (American Mathematical Society Colloquium Publications v28; 1942)</a>, by Gordon Thomas Whyburn (page images at HathiTrust)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp94701"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://catalog.hathitrust.org/Record/000430850"><cite>Topology</cite> (American Mathematical Society Colloquium Publications v12; 1930)</a>, by Solomon Lefschetz (page images at HathiTrust)</li></ul> <!-- calling substitute with 2 works --> <!-- substitute returned with 2 works --> <!-- calling substitute with 5 works --> <!-- substitute returned with 5 works --> <!-- calling substitute with 1 works --> <!-- substitute returned with 1 works --> <!-- calling substitute with 2 works --> <!-- substitute returned with 2 works --> <!-- calling substitute with 2 works --> <!-- substitute returned with 2 works --> <!-- calling substitute with 0 works --> <!-- substitute returned with 0 works --> <!-- calling substitute with 1 works --> <!-- substitute returned with 1 works --> <!-- calling substitute with 1 works --> <!-- substitute returned with 1 works --> <!-- calling substitute with 3 works --> <!-- substitute returned with 3 works --> <!-- calling substitute with 2 works --> <!-- substitute returned with 2 works --> <!-- calling substitute with 0 works --> <!-- substitute returned with 0 works --> <!-- calling substitute with 0 works --> <!-- substitute returned with 0 works --> <!-- calling substitute with 0 works --> <!-- substitute returned with 0 works --> <!-- calling substitute with 6 works --> <!-- substitute returned with 6 works --> <!-- calling substitute with 2 works --> <!-- substitute returned with 2 works --> <!-- calling substitute with 3 works --> <!-- substitute returned with 3 works --> <!-- calling substitute with 1 works --> <!-- substitute returned with 1 works --> <!-- calling substitute with 3 works --> <!-- substitute returned with 3 works --> <!-- calling substitute with 2 works --> <!-- substitute returned with 2 works --> <b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Topology%20%2d%2d%20Congresses">Topology -- Congresses</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56804"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/surgery/rutgers/index.htm"><cite>Algebraic and Geometric Topology</cite> (proceedings of a 1983 conference at Rutgers; published 1984)</a>, ed. by Andrew Ranicki, N. Levitt, and F. Quinn (PDF and DjVu files in the UK)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56810"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/books/nlat.pdf"><cite>Noncommutative Localization in Algebra and Topology</cite> (electronic edition, ca. 2006)</a>, ed. by Andrew Ranicki (PDF in the UK)</li></ul> <!-- calling substitute with 1 works --> <!-- substitute returned with 1 works --> <!-- calling substitute with 0 works --> <!-- substitute returned with 0 works --> <!-- calling substitute with 0 works --> <!-- substitute returned with 0 works --> <!-- calling substitute with 1 works --> <!-- substitute returned with 1 works --> <b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Algebraic%20topology%20%2d%2d%20Congresses">Algebraic topology -- Congresses</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56804"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/surgery/rutgers/index.htm"><cite>Algebraic and Geometric Topology</cite> (proceedings of a 1983 conference at Rutgers; published 1984)</a>, ed. by Andrew Ranicki, N. Levitt, and F. Quinn (PDF and DjVu files in the UK)</li></ul> <!-- calling substitute with 1 works --> <!-- substitute returned with 1 works --> <b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Homology%20theory%20%2d%2d%20Congresses">Homology theory -- Congresses</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56802"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/books/homproc.pdf"><cite>Exotic Homology Manifolds, Oberwolfach 2003</cite> (prepublication version, ca. 2006)</a>, ed. by F. Quinn and Andrew Ranicki (PDF in the UK)</li></ul> <!-- calling substitute with 1 works --> <!-- substitute returned with 1 works --> <b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Localization%20theory%20%2d%2d%20Congresses">Localization theory -- Congresses</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56810"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/books/nlat.pdf"><cite>Noncommutative Localization in Algebra and Topology</cite> (electronic edition, ca. 2006)</a>, ed. by Andrew Ranicki (PDF in the UK)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Manifolds%20%28Mathematics%29%20%2d%2d%20Congresses">Manifolds (Mathematics) -- Congresses</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56802"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/books/homproc.pdf"><cite>Exotic Homology Manifolds, Oberwolfach 2003</cite> (prepublication version, ca. 2006)</a>, ed. by F. Quinn and Andrew Ranicki (PDF in the UK)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Topology%20%2d%2d%20Periodicals">Topology -- Periodicals</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp81657"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://onlinebooks.library.upenn.edu/webbin/serial?id=topology"><cite>Topology</cite></a> (full serial archives)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp81655"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://projecteuclid.org/euclid.agt"><cite>Algebraic and Geometric Topology</cite> (issues more than 5 years old free to read online)</a> (partial serial archives)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp33710"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://projecteuclid.org/euclid.gt"><cite>Geometry and Topology</cite> (issues more than 5 years old are open access)</a> (partial serial archives)</li></ul> <!-- calling substitute with 1 works --> <!-- substitute returned with 1 works --> <!-- calling substitute with 1 works --> <!-- substitute returned with 1 works --> <!-- calling substitute with 1 works --> <!-- substitute returned with 1 works --> <!-- calling substitute with 1 works --> <!-- substitute returned with 1 works --> <b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Algebraic%20topology%20%2d%2d%20Periodicals">Algebraic topology -- Periodicals</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp81655"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://projecteuclid.org/euclid.agt"><cite>Algebraic and Geometric Topology</cite> (issues more than 5 years old free to read online)</a> (partial serial archives)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Categories%20%28Mathematics%29%20%2d%2d%20Periodicals">Categories (Mathematics) -- Periodicals</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp69402"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.tac.mta.ca/tac/"><cite>Theory and Applications of Categories</cite> (1995-)</a> (full serial archives)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Graph%20theory%20%2d%2d%20Periodicals">Graph theory -- Periodicals</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp78578"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://digitalcommons.georgiasouthern.edu/tag/"><cite>Theory and Applications of Graphs</cite> (2014-)</a> (full serial archives)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Homotopy%20theory%20%2d%2d%20Periodicals">Homotopy theory -- Periodicals</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp51799"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.intlpress.com/HHA/v"><cite>Homology, Homotopy and Applications</cite> (volumes more than 4 years old are free to read)</a> (partial serial archives)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Topology%20%2d%2d%20Textbooks">Topology -- Textbooks</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp85244"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://topology.pubpub.org/"><cite>Topology: A Categorical Approach</cite> (Cambridge, MA: MIT Press, 2020)</a>, by Tai-Danae Bradley, Tyler Bryson, and John Terilla (PDF files with commentary at pubpub.org)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Algebraic%20topology">Algebraic topology</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp18980"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.math.cornell.edu/~hatcher/AT/ATpage.html"><cite>Algebraic Topology</cite> (c2002)</a>, by Allen Hatcher (PDF files with commentary at Cornell)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp70293"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://catalog.hathitrust.org/Record/002059570"><cite>Modern Algebraic Topology</cite> (New York, Macmillan; London: Collier-Macmillan, c1963)</a>, by D. G. Bourgin (page images at HathiTrust)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp34206"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.math.uchicago.edu/~may/CONCISE/ConciseRevised.pdf"><cite>A Concise Course in Algebraic Topology</cite> (electronic edition, with errata corrected)</a>, by J. Peter May (PDF at Chicago)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Banach%20spaces">Banach spaces</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp57171"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.mat.univie.ac.at/~michor/banach_modules_and_functors.pdf"><cite>Banach Modules and Functors on Categories of Banach Spaces</cite> (c1979)</a>, by Johann Cigler, Viktor Losert, and Peter W. Michor (PDF in Austria)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp57191"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.mat.univie.ac.at/~michor/bookLN.pdf"><cite>Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals, and Functors on Categories of Banach Spaces</cite> (c1978)</a>, by Peter W. Michor (PDF in Austria)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Categories%20%28Mathematics%29">Categories (Mathematics)</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp11575"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.tac.mta.ca/tac/reprints/articles/12/tr12.pdf"><cite>Toposes, Triples, and Theories</cite> (version 1.1, reprinted in Theory and Applications of Categories, 2005)</a>, by Michael Barr and Charles Wells (PDF in Canada)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp74576"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://mitpress.mit.edu/books/category-theory-sciences"><cite>Category Theory for the Sciences</cite> (Cambridge, MA, and London: MIT Press, c2014)</a>, by David I. Spivak (illustrated HTML with commentary at MIT Press)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp72015"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.tac.mta.ca/tac/reprints/articles/22/tr22.pdf"><cite>Category Theory for Computing Science</cite> (revised reprint from Theory and Applications of Categories, 2013)</a>, by Michael Barr and Charles Wells (PDF in Canada)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp57191"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.mat.univie.ac.at/~michor/bookLN.pdf"><cite>Functors and Categories of Banach Spaces: Tensor Products, Operator Ideals, and Functors on Categories of Banach Spaces</cite> (c1978)</a>, by Peter W. Michor (PDF in Austria)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp57171"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.mat.univie.ac.at/~michor/banach_modules_and_functors.pdf"><cite>Banach Modules and Functors on Categories of Banach Spaces</cite> (c1979)</a>, by Johann Cigler, Viktor Losert, and Peter W. Michor (PDF in Austria)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp90040"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://bartoszmilewski.com/2014/10/28/category-theory-for-programmers-the-preface/"><cite>Category Theory for Programmers</cite> (free online edition)</a>, by Bartosz Milewski, ed. by Igal Tabacnik (illustrated HTML and PDF with commentary at bartoszmilewski.com and Github)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Games%20of%20strategy%20%28Mathematics%29">Games of strategy (Mathematics)</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp48198"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.rand.org/pubs/commercial_books/CB113-1/"><cite>The Compleat Strategyst: Being a Primer on the Theory of Games of Strategy</cite> (revised edition, c1966)</a>, by J. D. Williams (PDF with commentary at rand.org)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp48201"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.rand.org/pubs/commercial_books/CB149-1/"><cite>Games of Strategy: Theory and Applications</cite> (1961)</a>, by Melvin Dresher (PDF with commentary at rand.org)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Graph%20theory">Graph theory</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp15893"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://diestel-graph-theory.com/index.html"><cite>Graph Theory</cite> (free electronic edition, 2016)</a>, by Reinhard Diestel (PDF files at graph-theory.com)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp96693"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://catalog.hathitrust.org/Record/000431166"><cite>Theory of Graphs</cite> (American Mathematical Society Colloquium Publications v38, first edition; 1962)</a>, by Øystein Ore (page images at HathiTrust)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp35229"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://fs.gallup.unm.edu/NAS.pdf"><cite>Basic Neutrosophic Algebraic Structures and Their Application to Fuzzy and Neutrosophic Models</cite></a>, by W. B. Vasantha Kandasamy and Florentin Smarandache (PDF at UNM)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Homotopy%20theory">Homotopy theory</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp61998"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://homotopytypetheory.org/book/"><cite>Homotopy Type Theory: Univalent Foundations of Mathematics</cite> (c2013)</a>, by Univalent Foundations Program, Institute for Advanced Study (PDF with commentary at homotopytypetheory.org)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Lattice%20theory">Lattice theory</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp96288"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://catalog.hathitrust.org/Record/009753038"><cite>Lattice Theory</cite> (American Mathematical Society Colloquium Publications v25, revised edition; 1948)</a>, by Garrett Birkhoff (page images at HathiTrust)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Manifolds%20%28Mathematics%29">Manifolds (Mathematics)</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56813"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/books/scm.pdf"><cite>Surgery on Compact Manifolds</cite> (second edition, ca. 1999)</a>, by C. T. C. Wall, ed. by Andrew Ranicki (PDF in the UK)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp17864"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.emis.de/monographs/gilkey/index.html"><cite>Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem</cite> (1984)</a>, by Peter B. Gilkey (Postscript files at emis.de)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Mappings%20%28Mathematics%29">Mappings (Mathematics)</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp57140"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.emis.ams.org/journals/EJDE/Monographs/09/abstr.html"><cite>The Contraction Mapping Principle and Some Applications</cite> (EJDE monograph #9, 2009)</a>, by R. M. Brooks and Klaus Schmitt (PDF with commentary at ams.org)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp57615"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://catalog.hathitrust.org/Record/005948877"><cite>Elementary Divisors and Some Properties of the Lyapunov Mapping X to AX + XA*</cite> (Argonne, IL: Argonne National Laboratory, 1961)</a>, by Wallace Givens (page images at HathiTrust)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Metric%20spaces">Metric spaces</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp48672"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="https://web.archive.org/web/20210621134653/https://faculty.math.illinois.edu/~r-ash/RV.html"><cite>Real Variables With Basic Metric Space Topology</cite> (originally published 1993; this version c2007)</a>, by Robert B. Ash (PDF files at Wayback Machine)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Surgery%20%28Topology%29">Surgery (Topology)</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56805"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/books/topman.pdf"><cite>Algebraic L-Theory and Topological Manifolds</cite> (electronic edition, 2011)</a>, by Andrew Ranicki (PDF in the UK)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56803"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/books/surgery.pdf"><cite>Algebraic and Geometric Surgery</cite> (electronic edition, 2010)</a>, by Andrew Ranicki (PDF in the UK)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56806"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/books/exact.pdf"><cite>Exact Sequences in the Algebraic Theory of Surgery</cite> (1981)</a>, by Andrew Ranicki (PDF in the UK)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56808"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/books/knot.pdf"><cite>High Dimensional Knot Theory</cite> (electronic edition, 2010)</a>, by Andrew Ranicki (PDF in the UK)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56813"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/books/scm.pdf"><cite>Surgery on Compact Manifolds</cite> (second edition, ca. 1999)</a>, by C. T. C. Wall, ed. by Andrew Ranicki (PDF in the UK)</li></ul><b>Filed under: <a href="https://onlinebooks.library.upenn.edu/webbin/book/browse?type=lcsubc&key=Topological%20manifolds">Topological manifolds</a></b><ul class="nodot"><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56807"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/books/haupt.pdf"><cite>The Hauptvermutung Book: A Collection of Papers on the Topology of Manifolds</cite> (ca. 1996)</a>, ed. by Andrew Ranicki (PDF in the UK)</li><li><a href="https://onlinebooks.library.upenn.edu/webbin/book/lookupid?key=olbp56805"><img class="info" src="https://onlinebooks.library.upenn.edu/info.gif" alt="[Info]" /></a> <a href="http://www.maths.ed.ac.uk/~aar/books/topman.pdf"><cite>Algebraic L-Theory and Topological Manifolds</cite> (electronic edition, 2011)</a>, by Andrew Ranicki (PDF in the UK)</li></ul> <!-- we ended with max 0 --> <p><b>More items available under narrower terms.</b></p></td></tr></table> <p style="text-align:center"><a href="https://onlinebooks.library.upenn.edu/readers.html">Help with reading books</a> -- <a href="https://onlinebooks.library.upenn.edu/webbin/olbpcontact?type=badlink">Report a bad link</a> -- <a href="https://onlinebooks.library.upenn.edu/suggest.html">Suggest a new listing</a></p> <p style="text-align:center"><a href="https://onlinebooks.library.upenn.edu/">Home</a> -- <a href="https://onlinebooks.library.upenn.edu/search.html">Search</a> -- <a href="https://onlinebooks.library.upenn.edu/new.html">New Listings</a> -- <a href="https://onlinebooks.library.upenn.edu/authors.html">Authors</a> -- <a href="https://onlinebooks.library.upenn.edu/titles.html">Titles</a> -- <a href="https://onlinebooks.library.upenn.edu/subjects.html">Subjects</a> -- <a href="https://onlinebooks.library.upenn.edu/serials.html">Serials</a></p> <p style="text-align:center"> <a href="https://onlinebooks.library.upenn.edu/lists.html">Books</a> -- <a href="https://onlinebooks.library.upenn.edu/news.html">News</a> -- <a href="https://onlinebooks.library.upenn.edu/features.html">Features</a> -- <a href="https://onlinebooks.library.upenn.edu/archives.html">Archives</a> -- <a href="https://onlinebooks.library.upenn.edu/inside.html">The Inside Story</a></p> <p style="text-align:center"><i>Edited by John Mark Ockerbloom (onlinebooks@pobox.upenn.edu)<br><a href="https://onlinebooks.library.upenn.edu/licenses.html">OBP copyrights and licenses</a>.</i></p></body></html>