Some theorems on colocally connected continua

Eiichi Matsuhashi; Yoshiyuki Oshima

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arXiv · 2206.08548

Some theorems on colocally connected continua

Eiichi Matsuhashi·Yoshiyuki Oshima

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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.

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Eiichi Matsuhashi, Yoshiyuki Oshima. 2022-06-17. Some theorems on colocally connected continua. https://arxiv.org/abs/2206.08548

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