α -Scattered spaces

David A. Rose

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-5

Abstract:

α -scattered spaces, spaces whose α -topology is scattered, are introduced and used to slightly extend a recent result of A. V. Arhangel'skii and P. J. Collins [1]. Strong irresolvability of J. Foran and P. Liebnitz [6], is also characterized in terms ofthe α -topology, and it is shown that a recent theorem of Julian Dontchev [5] in essence maximally extends the Arhangel'skii-Collins result.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:659164

DOI: 10.1155/S0161171298000052

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