A note on covers defining relative and sectional categories

DOI10.1016/j.topol.2019.07.004zbMath1431.55002arXiv1905.07199OpenAlexW2946176979MaRDI QIDQ2324520

Jose M. García-Calcines

Publication date: 11 September 2019

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

Full work available at URL: https://arxiv.org/abs/1905.07199

zbMATH Keywords

sectional categorytopological complexityrelative categoryLusternik-Schnirelman category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Homotopy theory (55P99) Absolute neighborhood retracts (55M15)

Related Items (13)

On the topological complexity of maps ⋮ Parametrized topological complexity of poset-stratified spaces ⋮ Right-angled Artin groups, polyhedral products and the -generating function ⋮ Motion planning in polyhedral products of groups and a Fadell-Husseini approach to topological complexity ⋮ Parametrized topological complexity of sphere bundles ⋮ Geodesic complexity via fibered decompositions of cut loci ⋮ Relative topological complexity and configuration spaces ⋮ Higher topological complexity of a map ⋮ Unnamed Item ⋮ On the LS-category and topological complexity of projective product spaces ⋮ Topology of Parametrized Motion Planning Algorithms ⋮ Sequential parametrized motion planning and its complexity ⋮ Relative LS categories and higher topological complexities of maps

Cites Work

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• Erratum to ``Topological complexity is a fibrewise L-S category [Topology Appl. 157, No 1, 10--21 (2010)]
• Erratum to ``On higher analogs of topological complexity
• On category, in the sense of Lusternik-Schnirelmann
• Topological complexity of motion planning
• Up-to-one approximations of sectional category and topological complexity
• The Lusternik-Schnirelmann category of metric spaces
• Relative category and monoidal topological complexity
• Weak sectional category
• Relative category, products and coproducts
• The genus of a fiber space
• Note on Cofibrations II.

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