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arXiv · 1908.09901

(Non-)contractible road spaces of trees

Mathieu Baillif
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Abstract

We prove that the road space of an R-special tree is contractible and that a locally metrizable space containing a copy of an uncountable $\omega_1$-compact subspace of a tree is not. We also raise some questions about possible generalizations.

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Mathieu Baillif. 2019-08-26. (Non-)contractible road spaces of trees. https://arxiv.org/abs/1908.09901

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