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math.AT2021
From homotopy links to stratified homotopy theories
Sylvain Douteau, Lukas Waas
In previous work, the first author defined homotopy theories for stratified spaces from a simplicial and a topological perspective. In both frameworks stratified weak-equivalences…
math.AT2021
A stratified Kan-Quillen equivalence
Sylvain Douteau
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 filter…