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Lusternik--Schnirelmann theory on general spaces

Yu. B. Rudyak·F. Schlenk
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Abstract

We extend Lusternik-Schnirelmann theory to pairs $(f, ϕ)$, where $ϕ$ is a homotopy equivalence of a space $X$, $f$ is a function on $X$ which decreases along $ϕ$ and $(f, ϕ)$ satisfies a discrete analog of the Palais-Smale condition. The theory is carried out in an equivariant setting.

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BibTeXRIS

Yu. B. Rudyak, F. Schlenk. 2000-07-03. Lusternik--Schnirelmann theory on general spaces. https://arxiv.org/abs/math/0007014

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