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A Handbook of Model CategoriesTopological Spaces

A Handbook of Model Categories: Topological Spaces [The definition of a model category is done in such a way to form a bridge between the homotopy theory of spaces and homological algebra. In this section, we will discuss the various model structures on the category of topological spaces and continuous maps between them. The Quillen model structure, which has its weak equivalences being the weak homotopy equivalences, is fundamental, and is therefore prevalent in the standard references regarding model categories. We will discuss this model structure in Section 7.1, but we shall then go on to introduce some other model structures too.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Handbook of Model CategoriesTopological Spaces

Part of the Algebra and Applications Book Series (volume 27)
Balchin, Scott
A Handbook of Model Categories — Oct 30, 2021
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Publisher
Springer International Publishing
Copyright
© Springer Nature Switzerland AG 2021
ISBN
978-3-030-75034-3
Pages
131 –143
DOI
10.1007/978-3-030-75035-0_7
Publisher site
See Chapter on Publisher Site

Abstract

[The definition of a model category is done in such a way to form a bridge between the homotopy theory of spaces and homological algebra. In this section, we will discuss the various model structures on the category of topological spaces and continuous maps between them. The Quillen model structure, which has its weak equivalences being the weak homotopy equivalences, is fundamental, and is therefore prevalent in the standard references regarding model categories. We will discuss this model structure in Section 7.1, but we shall then go on to introduce some other model structures too.]

Published: Oct 30, 2021

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