A Hilbert Cube L-S Category

DOI10.2307/2047252zbMath0642.58018OpenAlexW4249399142MaRDI QIDQ3784888

Raymond Y. Wong

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2047252

zbMATH Keywords

Hilbert cube manifoldLusternik- Schnirelmann categorycompact connected polyhedron

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Topology of infinite-dimensional manifolds (57N20)

Cites Work

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• A quick proof of Singhof's \(cat(M\times S^ 1)=cat(M)+1\) theorem
• Lusternik-Schnirelmann category and Hilbert cube manifolds
• On category, in the sense of Lusternik-Schnirelmann
• Infinite Products which are Hilbert Cubes
• Dense Sigma-Compact Subsets of Infinite-Dimensional Manifolds