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.
Anahtar Kelimeler: Ultra generalized metric space, open set, open ball, closed ball, closed set, separation axioms, interior point, hausdorff, T1, T0
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.
Keywords: Ultra generalized metric space, open set, open ball, closed ball, closed set, separation axioms, interior point, hausdorff, T1, T0
Atıf İçin
Göçür, O. (2020). Ultra Generalized Metric Space. Journal of Current Research on Engineering, Science and Technology, 6 (1), 31-36.