{"product_id":"homotopy-theory-of-higher-categories-carlos-simpson-9780521516952","title":"Homotopy Theory of Higher Categories: From Segal Categories to N-Categories and Beyond","description":"The 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Carlos Simpson\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0521516951\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780521516952\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/20\/2011\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 652\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.30lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.10w x 1.50d","brand":"Carlos Simpson","offers":[{"title":"Hardcover","offer_id":44634237632767,"sku":"9780521516952","price":106.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_9a0ac19d-23ff-43cc-bb39-5b80e2ea04b8.jpg?v=1703588256","url":"https:\/\/www.whiterainbookhouse.com\/products\/homotopy-theory-of-higher-categories-carlos-simpson-9780521516952","provider":"WR Book House","version":"1.0","type":"link"}