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arXiv · 0901.1329

Mazurkiewicz manifolds and homogeneity

P. Krupski·V. Valov
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Abstract

It is proved that no region of a homogeneous locally compact, locally connected metric space can be cut by an $F_σ$-subset of a "smaller" dimension. The result applies to different finite or infinite topological dimensions of metrizable spaces.

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P. Krupski, V. Valov. 2009-01-09. Mazurkiewicz manifolds and homogeneity. https://arxiv.org/abs/0901.1329

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