{"product_id":"homotopy-theory-of-higher-categories-from-segal-categories-to-n-categories-and-beyond-hardcover","title":"Homotopy Theory of Higher Categories: From Segal Categories to N-Categories and Beyond - Hardcover","description":"\u003cp\u003eby \u003cb\u003eCarlos Simpson\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eThe study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theory. In this highly readable book, Carlos Simpson develops a full set of homotopical algebra techniques and proposes a working theory of higher categories. Starting with a cohesive overview of the many different approaches currently used by researchers, the author proceeds with a detailed exposition of one of the most widely used techniques: the construction of a Cartesian Quillen model structure for higher categories. The fully iterative construction applies to enrichment over any Cartesian model category, and yields model categories for weakly associative n-categories and Segal n-categories. A corollary is the construction of higher functor categories which fit together to form the (n+1)-category of n-categories. The approach uses Tamsamani's definition based on Segal's ideas, iterated as in Pelissier's thesis using modern techniques due to Barwick, Bergner, Lurie and others.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 652\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 1.5 x 9.1 x 6.1 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e December 30, 2011\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":53748027785580,"sku":"9780521516952","price":171.36,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0989\/3019\/6844\/files\/e948e00fd601d9472ebaa097b39b4a2f.webp?v=1778581507","url":"https:\/\/pattansenterprise.com\/products\/homotopy-theory-of-higher-categories-from-segal-categories-to-n-categories-and-beyond-hardcover","provider":"Pattansenterprise","version":"1.0","type":"link"}