Completion in a common supercategory of Met, UAP, wsAP and Near

• Autorzy: Khare M. , Tiwari S.
• Języki publikacji: EN

Abstrakty

EN

This paper investigates the notion of approach nearness spaces. Using clusters, completion of an approach nearness space is constructed, which is a unified study of completion in the context of metric spaces, uniform approach spaces, weakly symmetric approach spaces and nearness spaces. Another generalization of completeness, called ultrafilter completeness is introduced to prove the Niemytzki–Tychonoff theorem for approach nearness spaces. Both definitions of completions are shown to be equivalent in a limit-regular approach space. Various examples are given to support the present study.

Słowa kluczowe

EN

grill; approach space; approach nearness; lattice structure; completion; podejście przestrzeni; podejście bliskości; struktura sieciowa

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2013
• Tom: Vol. 46, nr 1
• Strony: 209--227
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Khare M.

• Department of Mathematics, University of Allahabad, Allahabad 21,1002, India

autor

Tiwari S.

• Department of Mathematics University of Allahabad Allahabad 211002, India

Bibliografia

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