On the Homotopy Theory of Stratified Spaces

This thesis is broken into two parts. In the first part (Chapters 2 to 6) is dedicated to proving a 'homtopy hypothesis' for stratified spaces. Specifically, given a poset P, we show that the ∞-category Strₚ of ∞-categories with a conservative functor to P can be obtained from the ordinary...

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Bibliographic Details
Main Author: Haine, Peter J.
Other Authors: Barwick, Clark
Format: Thesis
Published: Massachusetts Institute of Technology 2022
Online Access:https://hdl.handle.net/1721.1/139376
https://orcid.org/0000-0002-6662-2035

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