Fibrewise category

DOI10.1017/S0308210500028407zbMath0738.55005OpenAlexW4239576531MaRDI QIDQ3980588

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Publication date: 26 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500028407

zbMATH Keywords

Lusternik-Schnirelmann-categoryspaces over a space

Mathematics Subject Classification ID

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

Related Items (12)

Transverse Lusternik-Schnirelmann category of Riemannian foliations ⋮ Whitehead and Ganea constructions for fibrewise sectional category ⋮ Lower bounds for topological complexity ⋮ Lusternik-Schnirelmann theory to topological complexity from \(A_{\infty}\)-view point ⋮ Formal aspects of parametrized topological complexity and its pointed version ⋮ Functors on the category of quasi-fibrations ⋮ Topological complexity of the telescope ⋮ The Lusternik-Schnirelmann category of a Lie groupoid ⋮ \(A_{\infty }\)-spaces and L-S category in the category of fibrewise spaces ⋮ LS-category of compact Hausdorff foliations ⋮ A short proof for \(\mathrm{tc}(K)=4\) ⋮ Topological complexity is a fibrewise L-S category

Cites Work

• Unnamed Item
• Extensions of Ljusternik-Schnirelmann category theory to relative and equivariant theories with an application to an equivariant critical point theorem
• On category, in the sense of Lusternik-Schnirelmann
• A G-Lusternik-Schnirelmann category of space with an action of a compact Lie group
• On mappings into group-like spaces
• A RELATION BETWEEN POSTNIKOV CLASSES

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