On the relative Lusternik-Schnirelmann category with respect to a closed 1-form

Autor:	Li, Tieqiang, Schuetz, Dirk
Rok vydání:	2009
Předmět:	Mathematics - Algebraic Topology 58E05 55M30 55N25
Druh dokumentu:	Working Paper
Popis:	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). Comment: 14 pages, changed references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0908.1294 Zobrazit plný text záznamu View this record from Arxiv