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A Handbook of Model Categories

A Handbook of Model Categories
Catalogue Information
Field name Details
Dewey Class 512.6
Title A Handbook of Model Categories ([EBook] /) / by Scott Balchin.
Author Balchin, Scott
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2021.
Publication Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details XV, 326 p. 13 illus. : online resource.
Series Algebra and Applications 2192-2950 ; ; 27
ISBN 9783030750350
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.
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).
Internet Site https://doi.org/10.1007/978-3-030-75035-0
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