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

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  • Nandita Rath

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.

Suggested Citation

  • Nandita Rath, 2000. "Completion of a Cauchy space without the T 2 -restriction on the space," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 24, pages 1-10, January.
    • Handle: RePEc:hin:jijmms:830561
    DOI: 10.1155/S0161171200003331
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