(Non-)contractible road spaces of trees
General Topology
2019-08-28 v1
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 -compact subspace of a tree is not. We also raise some questions about possible generalizations.
Keywords
Cite
@article{arxiv.1908.09901,
title = {(Non-)contractible road spaces of trees},
author = {Mathieu Baillif},
journal= {arXiv preprint arXiv:1908.09901},
year = {2019}
}