Ultra Generalized Metric Space

In this paper, for n is a natural number such that n→∞, we described ultra generalized metric space as an ultra generalization of a metric space in such a way that the triangle inequality is replaced by similar ones which involve n unit points instead of three. And we give some basic properties about it. For example any ultra generalized metric space may not be a T₁ space.

Country

Turkey

Related Organizations

Bilecik University
Turkey

Keywords

T0, T1, Seperation Axioms, Interior Point, Closed Ball, Ultra Generalized Metric Space, Hausdorff, Open Set, Closed Set, Open Ball

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