Completion of a Cauchy space without the T 2 -restriction on the space

Nandita Rath

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-10

Abstract:

A completion of a Cauchy space is obtained without the T 2 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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:830561

DOI: 10.1155/S0161171200003331

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