A gap theorem for Lusternik-Schnirelmann \(\pi_1\)-category

DOI10.1016/S0166-8641(97)00259-9zbMath0927.55007OpenAlexW1984399977MaRDI QIDQ1292724

Takao Matumoto, Erkki K. Laitinen

Publication date: 8 December 1999

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(97)00259-9

zbMATH Keywords

fundamental groupclosed manifoldL-S category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Algebraic topology of manifolds (57N65)

Related Items (4)

Lusternik-Schnirelmann \(\pi_{1}\)-category of non-simply connected simple Lie groups ⋮ On Fox's \(m\)-dimensional category and theorems of Bochner type ⋮ Mixing categories ⋮ A gap theorem for Lusternik-Schnirelmann \(\pi_1\)-category

Cites Work

• Unnamed Item
• On homotopy equivalences of \(S^2\times RP^2\) to itself
• Lusternik-Schnirelmann category of 3-manifolds
• A gap theorem for Lusternik-Schnirelmann \(\pi_1\)-category
• Groups of cohomological dimension one

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