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Model Categories

Springer Science and Business Media Deutschland GmbH, (2022), 265-301
DOI: 10.1007/978-3-031-10447-3_7
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Abstract

In [123] Quillen proposed an axiomatic framework for homotopy theory through the notion of a model structure on a category. Such a structure consists of three distinguished classes of morphisms, calledweak equivalences, fibrations, and cofibrations, required to satisfy several axioms reminiscent of the properties of the corresponding notions in the usual homotopy theory of topological spaces.

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APA

Heuts, G., & Moerdijk, I. (2022). Model Categories. In Ergebnisse der Mathematik und ihrer Grenzgebiete (Vol. 75, pp. 265–301). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-10447-3_7

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