The rational sectional category of certain maps
Algebraic Topology
2016-04-13 v2
Abstract
We give a simple algebraic characterisation of the sectional category of rational maps admitting a homotopy retraction. As a particular case we get the F\'elix-Halperin theorem for rational Lusternik-Schnirelmann category and prove the conjecture of Jessup-Murillo-Parent on rational topological complexity. We also give a characterisation for relative category in the sense of Doeraene-El Haouari.
Keywords
Cite
@article{arxiv.1503.07314,
title = {The rational sectional category of certain maps},
author = {J. G. Carrasquel-Vera},
journal= {arXiv preprint arXiv:1503.07314},
year = {2016}
}
Comments
Final version. To appear in Ann. Scuola Norm-Sci