Metrizable DH-spaces of the first category
General Topology
2014-02-04 v2
Abstract
We show that if a separable space X has a meager open subset containing a copy of the Cantor set 2^\omega, then X has types of countable dense subsets. We suggest a generalization of the \lambda-set for non-separable spaces. Let X be an h-homogeneous \Lambda-set. Then X is densely homogeneous and (X \setminus A) is homeomorphic to X for every \sigma-discrete A \subset X.
Keywords
Cite
@article{arxiv.1401.7964,
title = {Metrizable DH-spaces of the first category},
author = {Sergey Medvedev},
journal= {arXiv preprint arXiv:1401.7964},
year = {2014}
}