\(A_{\infty }\)-spaces and L-S category in the category of fibrewise spaces

DOI10.1016/j.topol.2010.05.007zbMath1198.55002OpenAlexW2079257003MaRDI QIDQ989094

Michihiro Sakai

Publication date: 27 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.05.007

zbMATH Keywords

Fibrewise spaceLusternik-Schnirelmann category, \(A_\infty\)-space

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Fibrewise topology (55R70)

Related Items (3)

Lusternik-Schnirelmann theory to topological complexity from \(A_{\infty}\)-view point ⋮ Higher homotopy normalities in topological groups ⋮ A short proof for \(\mathrm{tc}(K)=4\)

Cites Work

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• Functors on the category of quasi-fibrations
• Topological complexity is a fibrewise L-S category
• Fibrewise Hopf construction and Hoo formula for pairings
• Lectures on the Eilenberg-Moore spectral sequence
• Partitions of unity in the theory of fibrations
• Ex-homotopy theory. I
• A proof of the homotopy push-out and pull-back lemma
• Fibrewise category
• Ganea's Conjecture on Lusternik-Schnirelmann Category
• On the Hopf-James Homomorphism over <I>B</I>
• Homotopy Associativity of H-Spaces. I

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