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.
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.4019 |
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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 |
_version_ |
1716783441078386688 |