Completion of a Cauchy space without the T2-restriction on the space
A completion of a Cauchy space is obtained without the T2 restriction on the space. This completion enjoys the universal property as well. The class of all Cauchy spaces with a special class of morphisms called s-maps form a subcategory CHY' of CHY. A completion functor is defined for this subc...
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Hindawi Limited
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171200003331 |
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doaj-587a9f2da25d4134895f0a30807f299e2020-11-25T00:42:27ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0124316317210.1155/S0161171200003331Completion of a Cauchy space without the T2-restriction on the spaceNandita Rath0Department of Mathematics, University of Western Australia, Nedlands 6009, WA, AustraliaA completion of a Cauchy space is obtained without the T2 restriction on the space. This completion enjoys the universal property as well. The class of all Cauchy spaces with a special class of morphisms called s-maps form a subcategory CHY' of CHY. A completion functor is defined for this subcategory. The completion subcategory of CHY' turns out to be a bireflective subcategory of CHY'. This theory is applied to obtain a characterization of Cauchy spaces which allow regular completion.http://dx.doi.org/10.1155/S0161171200003331Cauchy spaceCauchy maps-mapstable completion completion in standard formregular completion. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nandita Rath |
| spellingShingle |
Nandita Rath Completion of a Cauchy space without the T2-restriction on the space International Journal of Mathematics and Mathematical Sciences Cauchy space Cauchy map s-map stable completion completion in standard form regular completion. |
| author_facet |
Nandita Rath |
| author_sort |
Nandita Rath |
| title |
Completion of a Cauchy space without the T2-restriction
on the space |
| title_short |
Completion of a Cauchy space without the T2-restriction
on the space |
| title_full |
Completion of a Cauchy space without the T2-restriction
on the space |
| title_fullStr |
Completion of a Cauchy space without the T2-restriction
on the space |
| title_full_unstemmed |
Completion of a Cauchy space without the T2-restriction
on the space |
| title_sort |
completion of a cauchy space without the t2-restriction
on the space |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2000-01-01 |
| description |
A completion of a Cauchy space is obtained without the T2 restriction on the space. This completion enjoys the universal
property as well. The class of all Cauchy spaces with a special
class of morphisms called s-maps form a subcategory CHY' of
CHY. A completion functor is defined for this subcategory. The
completion subcategory of CHY' turns out to be a bireflective
subcategory of CHY'. This theory is applied to obtain a
characterization of Cauchy spaces which allow regular completion. |
| topic |
Cauchy space Cauchy map s-map stable completion completion in standard form regular completion. |
| url |
http://dx.doi.org/10.1155/S0161171200003331 |
| work_keys_str_mv |
AT nanditarath completionofacauchyspacewithoutthet2restrictiononthespace |
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1725282409329459200 |