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Stellar Stratifications on Classifying Spaces

Tamaki, Dai Tanaka, Lee Hiro 信州大学 DOI:10.1007/978-981-13-5742-8_15

2021.02.16

概要

We extend Björner’s characterization of the face poset of finite CW complexes to a certain class of stratified spaces, called cylindrically normal stellar complexes. As a direct consequence, we obtain a discrete analogue of cell decompositions in smooth Morse theory, by using the classifying space model introduced in [NTT]. As another application, we show that the exit-path category Exit(X), in the sense of [Lur], of a finite cylindrically normal CW stellar complex X is a quasi-category.

参考文献

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