{"product_id":"homotopy-theory-of-higher-categories-from-segal-categories-to-n-categories-and-beyond-9780521516952","title":"Homotopy Theory of Higher Categories: From Segal Categories to N-Categories and Beyond","description":"\u003cp\u003e • Author(s): Carlos Simpson\u003cbr\u003e • Publisher: Cambridge University Press\u003cbr\u003e • Publisher Imprint: Cambridge University Press\u003cbr\u003e • BISAC: Topology - General\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","brand":"Cambridge University Press","offers":[{"title":"Hardcover","offer_id":46432893403287,"sku":"9780521516952","price":6461.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780521516952.webp?v=1769306756","url":"https:\/\/atlanticbooks.com\/products\/homotopy-theory-of-higher-categories-from-segal-categories-to-n-categories-and-beyond-9780521516952","provider":"Atlantic Books","version":"1.0","type":"link"}