On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets in connected

V. Tzannes

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-4

Abstract:

We prove that a countable connected Hausdorff space in which the intersection of every pair of connected subsets is connected, cannot be locally connected, and also that every continuous function from a countable connected, locally connected Hausdorff space, to a countable connected Hausdorff space in which the intersection of every pair of connected subsets is connected, is constant.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:812090

DOI: 10.1155/S0161171298000635

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