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＜電子ブック＞
Introduction to Infinity-Categories / by Markus Land
(Compact Textbooks in Mathematics. ISSN:2296455X)

版	1st ed. 2021.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2021
大きさ	IX, 296 p. 390 illus., 1 illus. in color : online resource
著者標目	*Land, Markus author SpringerLink (Online service)
件　名	LCSH:Algebra, Homological FREE:Category Theory, Homological Algebra
一般注記	Preface -- Categories, simplicial sets, and in nity-categories -- Joyal's theorem, applications, and Dwyer-Kan localizations -- (Co)Cartesian brations and the construction of functors -- Limits and Colimits -- Adjunctions and adjoint functor theorems -- Exercises This textbook is an introduction to the theory of infinity-categories, a tool used in many aspects of modern pure mathematics. It treats the basics of the theory and supplies all the necessary details while leading the reader along a streamlined path from the basic definitions to more advanced results such as the very important adjoint functor theorems. The book is based on lectures given by the author on the topic. While the material itself is well-known to experts, the presentation of the material is, in parts, novel and accessible to non-experts. Exercises complement this textbook that can be used both in a classroom setting at the graduate level and as an introductory text for the interested reader HTTP:URL=https://doi.org/10.1007/978-3-030-61524-6

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