Homotopy types of topological stacks of categories

MaRDI QIDQ6574910

David Michael Roberts

Publication date: 19 July 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

topological categorieshomotopy typesQuillen's Theorem Atopological stacks

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Topological groupoids (including differentiable and Lie groupoids) (22A22) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Internal categories and groupoids (18D40)

Cites Work

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• Partitions of unity in the theory of fibrations
• The geometry of iterated loop spaces
• When is the Natural Map X →ΩΣX a Cofibration?
• Prismatization

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