| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4658931 | Topology and its Applications | 2013 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
