Extensions of Ljusternik-Schnirelmann category theory to relative and equivariant theories with an application to an equivariant critical point theorem

DOI10.1016/0166-8641(89)90005-9zbMath0676.55005OpenAlexW2021997132WikidataQ127173806 ScholiaQ127173806MaRDI QIDQ1122821

John R. Ramsay

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0166-8641(89)90005-9

zbMATH Keywords

critical points

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Equivariant homotopy theory in algebraic topology (55P91) Operations and obstructions in algebraic topology (55S99)

Related Items

Fibrewise category, The equivariant category of proper \(G\)-spaces.

Cites Work

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• Relative cohomological index theories
• Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems
• On category, in the sense of Lusternik-Schnirelmann
• Invariants of the Lusternik-Schnirelmann Type and the Topology of Critical Sets
• Borsuk-Ulam Theorems for Arbitrary S 1 Actions and Applications
• The classification of 𝐺-spaces