A generalization of the Open Mapping Theorem and a possible generalization of the Baire Category Theorem
General Topology
2022-05-24 v1
Abstract
We characterize continuum as the smallest cardinality of a family of compact sets needed to cover a locally compact group for which the Open Mapping Theorem does not hold.
Keywords
Cite
@article{arxiv.2205.10443,
title = {A generalization of the Open Mapping Theorem and a possible generalization of the Baire Category Theorem},
author = {Antoni Machowski},
journal= {arXiv preprint arXiv:2205.10443},
year = {2022}
}
Comments
6 pages