Categorical and contractible covers of polyhedra

DOI10.1016/0166-8641(89)90032-1zbMath0674.55004OpenAlexW2087380096MaRDI QIDQ1121551

Luis Montejano

Publication date: 1989

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(89)90032-1

zbMATH Keywords

homotopy typeLusternik-Schnirelmann categorygeometric categorycategorical polyhedral cover

Mathematics Subject Classification ID

General topology of complexes (57Q05) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30)

Cites Work

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• A quick proof of Singhof's \(cat(M\times S^ 1)=cat(M)+1\) theorem
• Lusternik-Schnirelmann category and minimal coverings with contractible sets
• Lusternik-Schnirelmann category and Hilbert cube manifolds
• Lusternik-Schnirelmann category and strong category
• Category and generalized Hopf invariants
• Invariants of the Lusternik-Schnirelmann Type and the Topology of Critical Sets
• Taming codimension three embeddings

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