Stratified homotopy theory of topological ∞-stacks: A toolbox

2024/05/13 by Mikala Ørsnes Jansen · 2 citations
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Algebraic Geometry and Number Theory

paper · doi:10.1016/j.jpaa.2024.107710

Abstract

We exploit the theory of ∞-stacks to provide some basic definitions and calculational tools regarding stratified homotopy theory of stratified topological stacks.

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• Localizing invariants of constructible sheaves
• Isotopy invariance and stratified 𝔼₂-structure of the Ran Grassmannian

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