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- W1948557600 abstract "In this article we study a homotopy invariant cat(X,B,xi) on a pair of finite CW complexes with respect to a continuous closed 1-form. This is a generalisation of a Lusternik-Schnirelmann category developed by Farber, studying the topology of a closed 1-form. The article establishes the connection with the original notion and obtains analogous results on critical points and homoclinic cycles. We also provide a similar cuplength lower bound for cat(X,B,xi)." @default.
- W1948557600 created "2016-06-24" @default.
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- W1948557600 date "2009-08-10" @default.
- W1948557600 modified "2023-09-27" @default.
- W1948557600 title "On the relative Lusternik-Schnirelmann category with respect to a closed 1-form" @default.
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