Abstract
In this chapter we describe algebraic categories in which the theory of this book can be applied. We consider the category of differential algebras and certain categories of simplicial objects. In such algebraic categories we can consider complexes which correspond to CW-complexes in topology. There are, however, no obvious ball pairs in the categories, so that we do not apply the results on simple homotopy equivalences in chapter VIII.
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© 1999 Springer-Verlag Berlin Heidelberg
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Baues, HJ. (1999). Examples and Applications in Algebraic Homotopy Theories. In: Combinatorial Foundation of Homology and Homotopy. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11338-7_2
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DOI: https://doi.org/10.1007/978-3-662-11338-7_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08447-8
Online ISBN: 978-3-662-11338-7
eBook Packages: Springer Book Archive