On low dimensional KC-spaces

DOI10.1016/J.TOPOL.2013.01.015zbMATH Open1266.54059arXiv1103.0256OpenAlexW2963452711MaRDI QIDQ1946996

Paul Fabel

Publication date: 11 April 2013

Published in: Topology and its Applications (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1103.0256

zbMATH Keywords

dendritedendroidKC-spaces

Mathematics Subject Classification ID

Connected and locally connected spaces (general aspects) (54D05) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

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