A quick proof of Singhof's \(cat(M\times S^ 1)=cat(M)+1\) theorem

DOI10.1007/BF01171745zbMath0639.55001MaRDI QIDQ1099841

Luis Montejano

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154921

zbMATH Keywords

category of the product of a polyhedron with a spheredual skeletonk-skeleton of a polyhedronLyusternik- Shnirel'man category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) PL-topology (57Q99)

Related Items

Lusternik-Schnirelmann category and Hilbert cube manifolds, Invariants of the Lusternik-Schnirelmann Type and the Topology of Critical Sets, Categorical and contractible covers of polyhedra, Old and new categorical invariants of manifolds, Lusternik--Schnirelmann category of non-simply connected compact simple Lie groups, Two special cases of Ganea’s conjecture, A Hilbert Cube L-S Category

Cites Work

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• Minimal coverings of manifolds with balls
• On category, in the sense of Lusternik-Schnirelmann
• Lusternik-Schnirelmann Category and Cocategory
• On the Lusternik-Schnirelmann category