arXiv:1103.0256 Abstract | arXiv Analytics

arXiv:1103.0256 [math.GN]Abstract References Reviews Resources

On low dimensional KC-spaces

Published 2011-03-01, updated 2012-08-27Version 2

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.

Comments: 14 pages -- errors corrected, abstract and introduction rewritten, and several references added

Categories: math.GN

Subjects: 54F50

Keywords: low dimensional kc-spaces, low dimensional examples, compact connected subsets fails, separation axiom, local conditions

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arXiv:1103.0256 [math.GN]Abstract References Reviews Resources

On low dimensional KC-spaces

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arXiv:1103.0256 [math.GN]AbstractReferencesReviewsResources

On low dimensional KC-spaces

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arXiv:1103.0256 [math.GN]Abstract References Reviews Resources