{"product_id":"simplicial-homotopy-theory-von-john-f-jardine-und-paul-g-goerss","title":"Simplicial Homotopy Theory","description":"\u003cp\u003eSince the beginning of the modern era of algebraic topology, simplicial\u003c\/p\u003e\u003cp\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\u003e            \u003c\/p\u003e\u003cp\u003eDiscussed here are the homotopy theory of simplicial sets, and other basic\u003c\/p\u003e\u003cp\u003etopics such as simplicial groups, Postnikov towers, and bisimplicial sets.\u003c\/p\u003e\u003cp\u003eThe more advanced material includes homotopy limits and colimits,\u003c\/p\u003e\u003cp\u003elocalization with respect to a map and with respect to a homology theory,\u003c\/p\u003e\u003cp\u003ecosimplicial spaces, and homotopy coherence. Interspersed throughout are\u003c\/p\u003e\u003cp\u003emany results and ideas well-known to experts, but uncollected in the\u003c\/p\u003e\u003cp\u003eliterature.\u003c\/p\u003e\u003cp\u003e            \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\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783034897372\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783034897372","offer_id":49592411095365,"sku":"9783034897372","price":128.39,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/1196ea62-7290-4a16-aa30-9a4d0fd22fd8.jpg?v=1772171018","url":"https:\/\/shop.autorenwelt.de\/products\/simplicial-homotopy-theory-von-john-f-jardine-und-paul-g-goerss","provider":"Autorenwelt Shop","version":"1.0","type":"link"}