Continuity up to a Covering and Connectedness
General Topology
2023-09-07 v3
Abstract
One of the ways that connectedness has been studied through the history of topology is by using chains, the so called chain connectedness. Here we combine this notion together with continuity up to a covering to provide the inheritance of connectedness for the topological spaces even when there is no continuous surjection between them.
Keywords
Cite
@article{arxiv.2308.14544,
title = {Continuity up to a Covering and Connectedness},
author = {Emin Durmishi},
journal= {arXiv preprint arXiv:2308.14544},
year = {2023}
}