Countable dense homogeneity and the Cantor set
General Topology
2020-01-20 v1
Abstract
It is shown that CH implies the existence of a compact Hausdorff space that is countable dense homogeneous, crowded and does not contain topological copies of the Cantor set. This contrasts with a previous result by the author which says that for any crowded Hausdorff space of countable -weight, if is countable dense homogeneous, then must contain a topological copy of the Cantor set.
Cite
@article{arxiv.1705.01203,
title = {Countable dense homogeneity and the Cantor set},
author = {Rodrigo Hernández-Gutiérrez},
journal= {arXiv preprint arXiv:1705.01203},
year = {2020}
}