A simplicial approach to stratified homotopy theory

DOI10.1090/tran/8264zbMath1472.55014arXiv1801.04797OpenAlexW3078853535MaRDI QIDQ5143150

Sylvain Douteau

Publication date: 11 January 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.04797

zbMATH Keywords

homotopy typestratified spacemodel categoryfiltered simplicial sets

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Homotopical algebra, Quillen model categories, derivators (18N40) Stratifications in topological manifolds (57N80)

Related Items (3)

Algorithmic canonical stratifications of simplicial complexes ⋮ Another approach to the Kan-Quillen model structure ⋮ Isovariant homotopy theory and fixed point invariants

Uses Software

• ex-infinity

Cites Work

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• Sheaves in topology
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• Another approach to the Kan-Quillen model structure
• A periodicity theorem for the octahedron recurrence
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• Strongly stratified homotopy theory
• Exit paths and constructible stacks
• Homotopically Stratified Sets
• Higher Categories and Homotopical Algebra
• Intersection Cohomology. Simplicial Blow-up and Rational Homotopy
• Stratified fibre bundles
• Introduction to the papers of R. Thom and J. Mather
• Notes on Topological Stability
• Singular Intersection Homology
• Ensembles et morphismes stratifiés
• Simplicial homotopy theory

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