On low dimensional KC-spaces
General Topology
2012-08-28 v2
Abstract
The KC property, a separation axiom between weakly Hausdorff and Hausdorff, requires compact subsets to be closed. Various assumptions involving local conditions, dimension, connectivity, and homotopy show certain KC-spaces are in fact Hausdorff. Several low dimensional examples of compact, connected, non-Hausdorff KC-spaces are exhibited in which the nested intersection of compact connected subsets fails to be connected.
Cite
@article{arxiv.1103.0256,
title = {On low dimensional KC-spaces},
author = {Paul Fabel},
journal= {arXiv preprint arXiv:1103.0256},
year = {2012}
}
Comments
14 pages -- errors corrected, abstract and introduction rewritten, and several references added