On low dimensional KC-spaces

Paul Fabel

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arXiv · 1103.0256

On low dimensional KC-spaces

Paul Fabel

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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.

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Paul Fabel. 2011-03-01. On low dimensional KC-spaces. https://arxiv.org/abs/1103.0256

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