Mazurkiewicz manifolds and homogeneity
General Topology
2009-01-13 v1 Geometric Topology
Abstract
It is proved that no region of a homogeneous locally compact, locally connected metric space can be cut by an -subset of a "smaller" dimension. The result applies to different finite or infinite topological dimensions of metrizable spaces.
Cite
@article{arxiv.0901.1329,
title = {Mazurkiewicz manifolds and homogeneity},
author = {P. Krupski and V. Valov},
journal= {arXiv preprint arXiv:0901.1329},
year = {2009}
}
Comments
5 pages