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A handbook of model categories

Balchin, Scott.

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A handbook of model categories

Record Type:	Electronic resources : Monograph/item
Title/Author:	A handbook of model categories/ by Scott Balchin.
Author:	Balchin, Scott.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xv, 326 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Model categories (Mathematics) -
Online resource:	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. - Cham :Springer International Publishing :2021. - xv, 326 p. :ill., digital ;24 cm. - Algebra and applications,v. 272192-2950 ;. - Algebra and applications ;v. 27..

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:

3522323
Model categories (Mathematics)

LC Class. No.: QA169 / .B35 2021

Dewey Class. No.: 512.62

A handbook of model categories
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300 $a xv, 326 p. : $b ill., digital ; $c 24 cm.
490 1 $a Algebra and applications, $x 2192-2950 ; $v v. 27
505 0 $a 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.
520 $a 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.
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