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arxiv: 1804.08038 · v2 · pith:G6OJT7OKnew · submitted 2018-04-21 · 🧮 math.GN

Homogeneous continua that are not separated by arcs

classification 🧮 math.GN
keywords homogeneouslocallyseparatedarcscompactcontinuametricprove
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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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