Stratified homotopy theory of topological ∞-stacks: A toolbox

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

OriginalsprogEngelsk
Artikelnummer107710
TidsskriftJournal of Pure and Applied Algebra
Vol/bind228
Udgave nummer11
Antal sider28
ISSN0022-4049
DOI
StatusUdgivet - 2024

Bibliografisk note

Funding Information:
The author would like to thank Dustin Clausen for many fruitful conversations, for the (also many) comments and remarks on drafts of this note and not least for the collaboration in [7]; the definitions, results and proofs regarding exit path \u221E-categories presented here are direct generalisations of the work done in that paper. We would also like to thank S\u00F8ren Galatius for valuable comments and insights. Finally, we thank two anonymous referees for their valuable comments and pointers. The author was supported by the European Research Council (ERC) under the European Unions Horizon 2020 research and innovation programme (grant agreement No 682922) and the Danish National Research Foundation through the Copenhagen Centre for Geometry and Topology (DNRF151).

Publisher Copyright:
© 2024 The Author(s)

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