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arXiv · 1604.00149

An example of a non-Borel locally-connected finite-dimensional topological group

I. Banakh·T. Banakh·M. Vovk
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Abstract

Answering a question posed by S.Maillot in MathOverFlow, for every $n\in\mathbb N$ we construct a locally connected subgroup $G\subset\mathbb R^{n+1}$ of dimension $dim(G)=n$, which is not locally compact.

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I. Banakh, T. Banakh, M. Vovk. 2016-04-01. An example of a non-Borel locally-connected finite-dimensional topological group. https://arxiv.org/abs/1604.00149

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