On some questions about KC and related spaces

Baldovino, Chiara; Costantini, Camillo

doi:10.1016/j.topol.2009.07.010

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“…The general theory of KC-spaces has continued to develop over the last decade [13] [16] and remains an active area of research. Recent advances include a proof of a long standing conjecture that minimal KC-spaces are compact [2], and several questions posed in [12] are settled in [1].…”

Section: Introductionmentioning

confidence: 99%

On low dimensional KC-spaces

Fabel

2013

Topology and its Applications

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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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Section: Introductionmentioning

confidence: 99%