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arXiv · 1804.08038

Homogeneous continua that are not separated by arcs

Jan van Mill·Vesko Valov
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Abstract

We prove that if $X$ is a strongly locally homogeneous and locally compact separable metric space and $G$ is a region in $X$ with $\dim G=2$, then $G$ is not separated by any arc in $G$.

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Jan van Mill, Vesko Valov. 2018-04-21. Homogeneous continua that are not separated by arcs. https://arxiv.org/abs/1804.08038

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