Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: approach space

Sortuj według:

Ogranicz wyniki do:

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

Khare M., Tiwari S.

Demonstratio Mathematica

2013

Vol. 46, nr 1

209--227

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.

Grill Determined L-Approach Merotopological Spaces

Khare M., Tiwari S.

Fundamenta Informaticae

2010

Vol. 99, nr 1

1-12

The present paper is devoted to the study of grill determined L-approachmerotopological spaces. The category having such spaces as objects is shown to be a topological construct (its initial and final structures are provided explicitly). The lattice structure of the family of all these spaces is also discussed. In the classical theory, this category (that is, when L = {0, 1}) is a supercategory of the category of pseudo metric spaces and nonexpansive maps.