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Research Article Open access CC BY 4.0

Half-Metric Spaces

Veeresh Kodekalmath

Asian Research Journal of Mathematics · pp. 69–74 · Published 28 Feb 2022

10.9734/arjom/2022/v18i230361

Abstract

In this paper, I have introduced half-metric spaces on normed vector spaces over \(\mathbb{R}\) or \(\mathbb{C}\), which are similar to metric spaces by relaxing a few conditions of metric space.I have also introduced even half-metric spaces,established some properties and discussed completeness in the context of half-metric space and even half-metric space.

Metric Space Half-Metric Space Translation Invariant Cauchy Sequences

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