The relationship between Ljusternik-Schnirelman category and the concept of genus

DOI10.2140/pjm.1980.89.33zbMath0464.55004OpenAlexW2042641056MaRDI QIDQ1154153

Edward Fadell

Publication date: 1980

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1980.89.33

zbMATH Keywords

Ljusternik-Schnirelman categoryG-genusinvariant closed set of a contractible paracompact free G-space

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Compact Lie groups of differentiable transformations (57S15)

Related Items (5)

Convergence of the eigenvalues of the \(p\)-Laplace operator as \(p\) goes to 1 ⋮ Equivariant category of the free part of a \(G\)-manifold and of the sphere of spherical harmonics ⋮ Necessary condition for eigensolutions of the 1-Laplace operator by means of inner variations ⋮ Perturbation results involving the 1-Laplace operator ⋮ Nonlinear spectrums of Finsler manifolds

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