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中图分类法:
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O154 版次： |
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著者:
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Simpson, Carlos, |
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题名:
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Homotopy theory of higher categories / / , |
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出版发行:
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出版地： Cambridge ; 出版社： Cambridge University Press, 出版日期： 2012. |
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载体形态:
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xviii, 634 p. ; 24 cm. |
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内容提要:
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"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"--Provided by publisher. |
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主题词:
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Homotopy theory. |
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主题词:
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Categories (Mathematics) |
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索书号:
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1 |