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A Handbook of Model Categories
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A Handbook of Model Categories
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
A Handbook of Model Categories/ by Scott Balchin.
作者:
Balchin, Scott.
面頁冊數:
XV, 326 p. 13 illus.online resource. :
Contained By:
Springer Nature eBook
標題:
Category Theory, Homological Algebra. -
電子資源:
https://doi.org/10.1007/978-3-030-75035-0
ISBN:
9783030750350
A Handbook of Model Categories
Balchin, Scott.
A Handbook of Model Categories
[electronic resource] /by Scott Balchin. - 1st ed. 2021. - XV, 326 p. 13 illus.online resource. - Algebra and Applications,272192-2950 ;. - Algebra and Applications,20.
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.
ISBN: 9783030750350
Standard No.: 10.1007/978-3-030-75035-0doiSubjects--Topical Terms:
678397
Category Theory, Homological Algebra.
LC Class. No.: QA169
Dewey Class. No.: 512.6
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