English

The Ganea conjecture for rational approximations of sectional category

Algebraic Topology 2015-06-15 v1

Abstract

We give bounds for the module sectional category of products of maps which generalise a theorem of Jessup for Lusternik-Schnirelmann category. We deduce also a proof of a Ganea type conjecture for topological complexity. This is a first step towards proving the Ganea conjecture for topological complexity in the rational context.

Keywords

Cite

@article{arxiv.1506.03866,
  title  = {The Ganea conjecture for rational approximations of sectional category},
  author = {J. G. Carrasquel-Vera},
  journal= {arXiv preprint arXiv:1506.03866},
  year   = {2015}
}