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Title: A Handbook of Model Categories ([EBook] /) / by Scott Balchin. Dewey Class: 512.6 Author: Balchin, Scott. author. Edition statement: 1st ed. 2021. Publication: Cham : : Springer International Publishing : : Imprint: Springer,, 2021. Other name(s): SpringerLink (Online service) Physical Details: XV, 326 p. 13 illus. : online resource. Series: Algebra and Applications,2192-2950 ;; 27 ISBN: 9783030750350 Mode of acces to digital resource: Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). Summary Note: 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.: Contents note: 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. ------------------------------ *** There are no holdings for this record *** -----------------------------------------------
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