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A handbook of model categories

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Balchin,  Scott
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Balchin, S. (2021). A handbook of model categories. Cham: Springer.


Cite as: https://hdl.handle.net/21.11116/0000-0009-75A5-9
Abstract
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.