A note on covers defining relative and sectional categories
Algebraic Topology
2019-05-20 v1
Abstract
We give a characterization of relative category in the sense of Doeraene-El Haouari by using open covers. We also prove that relative category and sectional category can be defined by taking arbitrary covers (not necessarily open) when dealing with ANR spaces.
Keywords
Cite
@article{arxiv.1905.07199,
title = {A note on covers defining relative and sectional categories},
author = {Jose Manuel García-Calcines},
journal= {arXiv preprint arXiv:1905.07199},
year = {2019}
}
Comments
20 pages