English

On Lusternik-Schnirelmann Category of Connected Sums

Algebraic Topology 2012-05-02 v1

Abstract

In this paper we estimate the Lusternik-Schnirelmann category of the connected sum of two manifolds through their categories. We achieve a more general result regarding the category of a quotient space X/A where A is a suitable subspace of X.

Keywords

Cite

@article{arxiv.1205.0216,
  title  = {On Lusternik-Schnirelmann Category of Connected Sums},
  author = {Robert Newton},
  journal= {arXiv preprint arXiv:1205.0216},
  year   = {2012}
}