Completions of non-T2 filter spaces

The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions of non-T2 filter spaces, and a completion functor on the category of all filter spaces is described.

Bibliographic Details
Main Author: Nandita Rath
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.4019
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spelling doaj-ddd109e8b67d4cb5ba342c9ec4232b1a2020-11-24T20:59:11ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005244019402710.1155/IJMMS.2005.4019Completions of non-T2 filter spacesNandita Rath0School of Mathematics and Statistics, University of Western Australia, Nedlands 6907, WA, AustraliaThe well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions of non-T2 filter spaces, and a completion functor on the category of all filter spaces is described.http://dx.doi.org/10.1155/IJMMS.2005.4019
collection DOAJ
language English
format Article
sources DOAJ
author Nandita Rath
spellingShingle Nandita Rath
Completions of non-T2 filter spaces
International Journal of Mathematics and Mathematical Sciences
author_facet Nandita Rath
author_sort Nandita Rath
title Completions of non-T2 filter spaces
title_short Completions of non-T2 filter spaces
title_full Completions of non-T2 filter spaces
title_fullStr Completions of non-T2 filter spaces
title_full_unstemmed Completions of non-T2 filter spaces
title_sort completions of non-t2 filter spaces
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2005-01-01
description The well-known completions of T2 Cauchy spaces and T2 filter spaces are extended to the completions of non-T2 filter spaces, and a completion functor on the category of all filter spaces is described.
url http://dx.doi.org/10.1155/IJMMS.2005.4019
work_keys_str_mv AT nanditarath completionsofnont2filterspaces
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