{"product_id":"9780521516952","title":"Homotopy Theory of Higher Categories : From Segal Categories to n-Categories and Beyond (New Mathematical Monographs)","description":"\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","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":45391882846287,"sku":"00000_00000_00000_00000","price":4130.0,"currency_code":"TWD","in_stock":true}],"url":"https:\/\/kinokuniya.com.tw\/products\/9780521516952","provider":"Books Kinokuniya Taiwan","version":"1.0","type":"link"}