More Concise Algebraic Topology: Localization, Completion, and Model Categories

J. P. May, K. Ponto - More Concise Algebraic Topology: Localization, Completion, and Model Categories
Published: 2012-02-01 | ISBN: 0226511782 | PDF | 544 pages | 2.44 MB


With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook. J. Peter May抯 A Concise Course in Algebraic Topology addresses the standard first course material, such as fundamental groups, covering spaces, the basics of homotopy theory, and homology and cohomology. In this sequel, May and his coauthor, Kathleen Ponto, cover topics that are essential for algebraic topologists and others interested in algebraic topology, but that are not treated in standard texts. They focus on the localization and completion of topological spaces, model categories, and Hopf algebras.
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