On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets is connected (Q1392693)

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scientific article; zbMATH DE number 1180635
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On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets is connected
scientific article; zbMATH DE number 1180635

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    On countable connected Hausdorff spaces in which the intersection of every pair of connected subsets is connected (English)
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    28 July 1998
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    Summary: The author proves 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.
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    locally connected Hausdorff space
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