On the relative Lusternik-Schnirelmann category with respect to a closed 1-form
Algebraic Topology
2009-11-20 v2
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).
Keywords
Cite
@article{arxiv.0908.1294,
title = {On the relative Lusternik-Schnirelmann category with respect to a closed 1-form},
author = {Tieqiang Li and Dirk Schuetz},
journal= {arXiv preprint arXiv:0908.1294},
year = {2009}
}
Comments
14 pages, changed references