L. S. category of the total space in a fibration and \(k\)-monomorphisms

DOI10.1016/S0166-8641(99)00155-8zbMath0978.55001MaRDI QIDQ5925874

Cuvilliez, Maxence

Publication date: 27 January 2002

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

zbMATH Keywords

\(k\)-monomorphismL-S-categorysectional category

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Rational homotopy theory (55P62)

Related Items (2)

The rational LS-category of $k$-trivial fibrations ⋮ Explicit formulae for the rational L-S category of some homogeneous spaces

Cites Work

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• Ganea fibrations
• On monomorphisms in homotopy theory
• Lusternik-Schnirelmann category and strong category
• A note on fibrations and category
• Lectures on minimal models
• On 𝑃𝐿 de Rham theory and rational homotopy type
• Pull-Backs in Homotopy Theory
• Invariants of the Lusternik-Schnirelmann Type and the Topology of Critical Sets
• Rational L.-S. Category and Its Applications
• Note on Cofibrations.

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