Lusternik--Schnirelmann theory on general spaces

Details Lusternik--Schnirelmann theory on general spaces Lusternik--Schnirelmann theory on general spaces

2000-07-03

arxiv.org/abs/math/0007014v1

Mathematics

Dynamical Systems

23 pages, 1 figure

Scientific paper

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

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