| Description |
1 online resource : illustrations |
| Series |
Algebra and applications, 2192-2950 ; volume 27 |
|
Algebras and applications ; v. 27. 2192-2950
|
| 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 |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed November 9, 2021) |
| Subject |
Model categories (Mathematics)
|
|
Categorías (Matemáticas)
|
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Model categories (Mathematics)
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Categories (Matemàtica)
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| Genre/Form |
Electronic books
|
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Llibres electrònics.
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| Form |
Electronic book
|
| ISBN |
9783030750350 |
|
3030750353 |
|
