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A Handbook of Model CategoriesChain Complexes

A Handbook of Model Categories: Chain Complexes [In this chapter, we will be concerned with the homotopy theory of bounded and unbounded chain complexes valued in a suitable abelian category A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {A}$$\end{document}. As remarked in the introduction of Chapter 7, model categories unify the homotopy theory of spaces and homological algebra. As such many of the model structures constructed in Chapter 7 will have an analogue here.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Handbook of Model CategoriesChain Complexes

Part of the Algebra and Applications Book Series (volume 27)
Balchin, Scott
A Handbook of Model Categories — Oct 30, 2021
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14 pages

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Publisher
Springer International Publishing
Copyright
© Springer Nature Switzerland AG 2021
ISBN
978-3-030-75034-3
Pages
145 –159
DOI
10.1007/978-3-030-75035-0_8
Publisher site
See Chapter on Publisher Site

Abstract

[In this chapter, we will be concerned with the homotopy theory of bounded and unbounded chain complexes valued in a suitable abelian category A\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {A}$$\end{document}. As remarked in the introduction of Chapter 7, model categories unify the homotopy theory of spaces and homological algebra. As such many of the model structures constructed in Chapter 7 will have an analogue here.]

Published: Oct 30, 2021

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