Some theorems on colocally connected continua
General Topology
2022-06-20 v1
Abstract
We show that each refinable map preserves colocal connectedness of the domain while a proximately refinable map does not necessarily. Also, we prove that colocal connectedness is a Whitney property and is not a Whitney reversible property.
Cite
@article{arxiv.2206.08548,
title = {Some theorems on colocally connected continua},
author = {Eiichi Matsuhashi and Yoshiyuki Oshima},
journal= {arXiv preprint arXiv:2206.08548},
year = {2022}
}
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6 pages