Model Categories

Autor: Gijs Heuts, Ieke Moerdijk
Rok vydání: 2022
Zdroj: Simplicial and Dendroidal Homotopy Theory ISBN: 9783031104466
DOI: 10.1007/978-3-031-10447-3_7
Popis: 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.
Databáze: OpenAIRE