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Topology

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ALGTOP-L, Algebraic Topology listserv

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ALGTOP-L, Algebraic Topology listserv ALGTOP-L, Algebraic Topology listserv This listserv began as a discussion group in July 1995, and was converted to an automated moderated listserv in Sept 2007. To join the listserv go to https://lists.lehigh.edu/mailman/listinfo/algtop-l . The primary functions of this listserv are providing abstracts of papers posted to the Hopf archive, providing information about topology conferences, and serving as a forum for topics related to algebraic topology. This website also serves as an archive of links to websites related to algebraic topology. The Hopf archive is a preprint server for papers in algebraic topology. It is maintained by Clarence Wilkerson. Once a month, Mark Hovey posts abstracts of papers which have been added to the Hopf archive. Informat Read More
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Hopf Topology Archive, Revised Version

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Hopf Topology Archive Welcome to the Hopf Topology Archive! NOTICE: Hopf has been moved to a virtual website on the Math department server. Most things should be transparent if you use http://hopf.math.purdue.edu as the URL. The FTP service will not be reactivated due to security concerns. If you experience problems, please report them to wilker@math.purdue.edu Thank you. Read More
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What is Topology?

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What is Topology? A short and idiosyncratic answer Robert Bruner Basically, topology is the modern version of geometry, the study of all different sorts of spaces. The thing that distinguishes different kinds of geometry from each other (including topology here as a kind of geometry) is in the kinds of transformations that are allowed before you really consider something changed. (This point of view was first suggested by Felix Klein, a famous German mathematician of the late 1800 and early 1900's.) In ordinary Euclidean geometry, you can move things around and flip them over, but you can't stretch or bend them. This is called "congruence" in geometry class. Two things are congruent if you can lay one on top of the other in such a way that they exactly match. In projective geometry, invent Read More
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