A Handbook of Model Categories

Specificaties
Paperback, blz. | Engels
Springer International Publishing | e druk, 2022
ISBN13: 9783030750374
Rubricering
Springer International Publishing e druk, 2022 9783030750374
Onderdeel van serie Algebra and Applications
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9783030750374
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing

Inhoudsopgave

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.

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        A Handbook of Model Categories