Mathematics > Algebraic Topology
[Submitted on 9 Feb 2021
]
Title: A stratified Kan-Quillen equivalence
Title: 一种分层的Kan-Quillen等价
Abstract: We exhibit a Quillen equivalence between two model categories encoding the homotopy theory of stratified spaces : the model category of filtered simplicial sets, and that of filtered spaces. Additionally, we introduce a new class of filtered spaces, that of vertical filtered CW-complexes, providing a nice model for the homotopy category of stratified spaces.
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