Completion of a Cauchy Space without the T2-restriction on the Space
نویسنده
چکیده
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.
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