{"product_id":"more-concise-algebraic-topology-localization-completion-and-model-categories-hardcover","title":"More Concise Algebraic Topology: Localization, Completion, and Model Categories - Hardcover","description":"\u003cdiv\u003e\u003cp style=\"text-align: right;\"\u003e\u003ca href=\"https:\/\/reportcopyrightinfringement.com\/\" target=\"_blank\" rel=\"nofollow\"\u003e\u003cb\u003eReport copyright infringement\u003c\/b\u003e\u003c\/a\u003e\u003c\/p\u003e\u003c\/div\u003e\u003cp\u003eby \u003cb\u003eJ. P. May\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eWith 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's \u003ci\u003eA Concise Course in Algebraic Topology\u003c\/i\u003e 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. The first half of the book sets out the basic theory of localization and completion of nilpotent spaces, using the most elementary treatment the authors know of. It makes no use of simplicial techniques or model categories, and it provides full details of other necessary preliminaries. With these topics as motivation, most of the second half of the book sets out the theory of model categories, which is the central organizing framework for homotopical algebra in general. Examples from topology and homological algebra are treated in parallel. A short last part develops the basic theory of bialgebras and Hopf algebras.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eJ. P. May\u003c\/b\u003e is professor of mathematics at the University of Chicago; he is the author or coauthor of many papers and books, including\u003ci\u003e Simplicial Objects in Algebraic Topology \u003c\/i\u003eand \u003ci\u003eA Concise Course in Algebraic Topology\u003c\/i\u003e, both also in this series. \u003cb\u003eK. Ponto\u003c\/b\u003e is assistant professor of mathematics at the University of Kentucky. \u003c\/p\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 544\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.3 x 9 x 6.2 IN\u003c\/div\u003e\n            \u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e February 01, 2012\u003c\/div\u003e\n            ","brand":"BooksCloud","offers":[{"title":"Default Title","offer_id":45281137360998,"sku":"9780226511788","price":158.63,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0599\/7255\/0758\/files\/b3dxYUtLK1B5L0JEbmR0cUxqQis0UT09.webp?v=1773906625","url":"https:\/\/infinitylightwa.com\/products\/more-concise-algebraic-topology-localization-completion-and-model-categories-hardcover","provider":"Infinity Light","version":"1.0","type":"link"}