A Handbook of Model Categories [electronic resource] / by Scott Balchin
- Author
- Balchin, Scott
- Published
- Cham : Springer International Publishing : Imprint: Springer, 2021.
- Edition
- 1st ed. 2021.
- Physical Description
- XV, 326 p. 13 illus. online resource
- Additional Creators
- SpringerLink (Online service)
Access Online
- Series
- Contents
- 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.
- Summary
- 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.
- Subject(s)
- ISBN
- 9783030750350
- Digital File Characteristics
- text file PDF
- Part Of
- Springer Nature eBook
View MARC record | catkey: 35865211