A\(_{\infty}\)-method in Lusternik-Schnirelmann category

DOI10.1016/S0040-9383(00)00045-8zbMath0996.55003arXivmath/0202119OpenAlexW2089068742MaRDI QIDQ1601659

Norio Iwase

Publication date: 27 June 2002

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0202119

zbMATH Keywords

Lyusternik-Shnirel'man categoryLS categoryGanea conjectureBernstein-Hilton invariantshigher homotopy associativity

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Loop spaces (55P35) Hopf invariants (55Q25)

Related Items (17)

On Lusternik–Schnirelmann category of ${\bf SO}(10)$ ⋮ \(A_{n}\) theory, L.S. category, and strong category ⋮ Double bubbles with high constant mean curvatures in Riemannian manifolds ⋮ A theory of PWD-structures ⋮ Hopf invariants, Toda brackets and the reduced diagonal map ⋮ Lusternik-Schnirelmann theory to topological complexity from \(A_{\infty}\)-view point ⋮ Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes ⋮ Open problems in topology. ⋮ The Lusternik–Schnirelmann category of a connected sum ⋮ Implications of the Ganea Condition ⋮ The product formula for Lusternik-Schnirelmann category ⋮ Lusternik--Schnirelmann category of non-simply connected compact simple Lie groups ⋮ A minimum dimensional counterexample to Ganea's conjecture ⋮ Topological complexity is a fibrewise L-S category ⋮ Lusternik-Schnirelmann category of 𝐒𝐩𝐢𝐧(9) ⋮ Fibrewise construction applied to Ljusternik-Schnirelman category ⋮ On the LS-category of product of Iwase’s manifolds

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