Abstract
In this chapter we describe most elementary properties of a homotopy theory. These properties are used to define the axioms of a cofibration category. We also describe basic results which earl be deduced from these axioms and which are used in this book. We recall these results from Baues [AH]. In the applications we shall consider numerous different homotopy theories which satisfy the axioms of a cofibration category. This shows that all results in this chapter and in the following chapters can be applied in each of these examples of homotopy theories.
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© 1999 Springer-Verlag Berlin Heidelberg
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Baues, HJ. (1999). Basic Concepts of Homotopy Theory. In: Combinatorial Foundation of Homology and Homotopy. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11338-7_7
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DOI: https://doi.org/10.1007/978-3-662-11338-7_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08447-8
Online ISBN: 978-3-662-11338-7
eBook Packages: Springer Book Archive