Lusternik--Schnirelmann category of a sphere-bundle over a sphere.

DOI10.1016/S0040-9383(02)00026-5zbMath1035.55004arXivmath/0202120MaRDI QIDQ1811546

Norio Iwase

Publication date: 17 June 2003

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0202120

zbMATH Keywords

LS categorysphere bundleGanea's conjecturehigher Hopf invariant

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Loop spaces (55P35) Hopf invariants (55Q25) Extension and compression of mappings in algebraic topology (55S36)

Related Items (8)

Maps of degree 1 and Lusternik-Schnirelmann category ⋮ Topology and curvature of isoparametric families in spheres ⋮ The Lusternik–Schnirelmann category of a connected sum ⋮ Lusternik--Schnirelmann category of non-simply connected compact simple Lie groups ⋮ Topological complexity is a fibrewise L-S category ⋮ Lusternik-Schnirelmann category of 𝐒𝐩𝐢𝐧(9) ⋮ On the LS-category of product of Iwase’s manifolds ⋮ Embeddings up to homotopy of two-cones in euclidean space

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