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＜E-Book＞
A Handbook of Model Categories / by Scott Balchin
(Algebra and Applications. ISSN:21922950 ; 27)

Edition	1st ed. 2021.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2021
Size	XV, 326 p. 13 illus : online resource
Authors	*Balchin, Scott author SpringerLink (Online service)
Subjects	LCSH:Algebra, Homological FREE:Category Theory, Homological Algebra
Notes	Introduction -- Part I The theory and practice of model categories -- Introduction to Part I -- On Quillen model categories -- Properties -- New models from old -- Relation to (,1)-categories -- Part II Examples -- Introduction to Part II -- Simplicial sets -- Topological spaces -- Chain complexes -- Categories -- Spectra -- Simplicial categories -- Bisimplicial sets -- Relative categories -- Dendroidal sets -- Cyclic Sets -- C-algebras -- Miscellanea -- Part III A model categorical Kunstkammer.-Introduction to Part III -- Die Kunstkammer -- Bibliography -- Index This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs. Quillen model categories are a fundamental tool for the understanding of homotopy theory. While many introductions to model categories fall back on the same handful of canonical examples, the present book highlights a large, self-contained collection of other examples which appear throughout the literature. In particular, it collects a highly scattered literature into a single volume. The book is aimed at anyone who uses, or is interested in using, model categories to study homotopy theory. It is written in such a way that it can be used as a reference guide for those who are already experts in the field. However, it can also be used as an introduction to the theory for novices HTTP:URL=https://doi.org/10.1007/978-3-030-75035-0

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