000			01952nam a22002537a 4500
003			OSt
005			20250324152231.0
008			250324b |||||||| |||| 00| 0 hin d
020			_a9781108479622
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082	0	0	_a512.58 _bRIC-F
100	1		_aRichter, Birgit
245	1	0	_aFrom categories to homotopy theory
260			_aNew York, NY : _bCambridge University Press, _c2020.
300			_ax, 390 pages.
490			_aCambridge studies in advanced mathematics ; _v188
504			_aIncludes bibliographical references and index.
520			_aCategory theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With this book, the author bridges the gap between pure category theory and its numerous applications in homotopy theory, providing the necessary background information to make the subject accessible to graduate students or researchers with a background in algebraic topology and algebra. The reader is first introduced to category theory, starting with basic definitions and concepts before progressing to more advanced themes. Concrete examples and exercises illustrate the topics, ranging from colimits to constructions such as the Day convolution product. Part II covers important applications of category theory, giving a thorough introduction to simplicial objects including an account of quasi-categories and Segal sets. Diagram categories play a central role throughout the book, giving rise to models of iterated loop spaces, and feature prominently in functor homology and homology of small categories.
650		0	_aCategories (Mathematics)
650		0	_aHomotopy theory.
856			_3Table of content _uhttps://assets.cambridge.org/97811084/79622/toc/9781108479622_toc.pdf
856			_3Reviews _uhttps://www.goodreads.com/book/show/48813322-from-categories-to-homotopy-theory?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cBK
999			_c35890 _d35890