2009 | OriginalPaper | Buchkapitel
Model Categories
verfasst von : Paul G. Goerss, John F. Jardine
Erschienen in: Simplicial Homotopy Theory
Verlag: Birkhäuser Basel
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The closed model axioms have a list of basic abstract consequences, including an expanded notion of homotopy and a Whitehead theorem. The associated homotopy category is defined to be the result of formally inverting the weak equivalences within the ambient closed model category, but can be constructed in the CW-complex style by taking homotopy classes of maps between objects which are fibrant and cofibrant. These topics are presented in the first section of this chapter.