{"product_id":"simplicial-homotopy-theory-9783034897372","title":"Simplicial Homotopy Theory","description":"\u003cp\u003e • Author(s): Paul G. Goerss\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eSince the beginning of the modern era of algebraic topology, simplicial\u003cbr\u003emethods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques.\u003c\/p\u003e \u003cp\u003eDiscussed here are the homotopy theory of simplicial sets, and other basic\u003cbr\u003etopics such as simplicial groups, Postnikov towers, and bisimplicial sets.\u003cbr\u003eThe more advanced material includes homotopy limits and colimits, \u003cbr\u003elocalization with respect to a map and with respect to a homology theory, \u003cbr\u003ecosimplicial spaces, and homotopy coherence. Interspersed throughout are\u003cbr\u003emany results and ideas well-known to experts, but uncollected in the\u003cbr\u003eliterature.\u003c\/p\u003e \u003cp\u003eIntended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory. An extensive background in topology is not assumed.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45284407181463,"sku":"9783034897372","price":8814.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783034897372.webp?v=1769281078","url":"https:\/\/atlanticbooks.com\/products\/simplicial-homotopy-theory-9783034897372","provider":"Atlantic Books","version":"1.0","type":"link"}