A note on maximally resolvable spaces

A.G. El'kin [1] poses the question as to whether any uncountable cardinal number can be the dispersion character of a Hausdorff maximally resolvable space.

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Main Author: V. Tzannes
Format: Article
Language:English
Published: Wiley 1990-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171290000746
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author V. Tzannes
author_facet V. Tzannes
author_sort V. Tzannes
collection DOAJ
description A.G. El'kin [1] poses the question as to whether any uncountable cardinal number can be the dispersion character of a Hausdorff maximally resolvable space.
format Article
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issn 0161-1712
1687-0425
language English
publishDate 1990-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-c8fd177823804629bf0c38404ba67e532025-08-20T02:19:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113351351610.1155/S0161171290000746A note on maximally resolvable spacesV. Tzannes0Department of Mathematics, University of Patras, Patras, GreeceA.G. El'kin [1] poses the question as to whether any uncountable cardinal number can be the dispersion character of a Hausdorff maximally resolvable space.http://dx.doi.org/10.1155/S0161171290000746metriccountable spacesconnectedlocally connectedmaximally resolvableUrysohnalmost regular spaces.
spellingShingle V. Tzannes
A note on maximally resolvable spaces
International Journal of Mathematics and Mathematical Sciences
metric
countable spaces
connected
locally connected
maximally resolvable
Urysohn
almost regular spaces.
title A note on maximally resolvable spaces
title_full A note on maximally resolvable spaces
title_fullStr A note on maximally resolvable spaces
title_full_unstemmed A note on maximally resolvable spaces
title_short A note on maximally resolvable spaces
title_sort note on maximally resolvable spaces
topic metric
countable spaces
connected
locally connected
maximally resolvable
Urysohn
almost regular spaces.
url http://dx.doi.org/10.1155/S0161171290000746
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