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On Quasimetrizability of Quasicone Metric Spaces
Author(s) -
Maggie Aphane,
Seithuti P. Moshokoa
Publication year - 2015
Publication title -
chinese journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2314-8071
DOI - 10.1155/2015/392190
Subject(s) - metric (unit) , metric space , mathematics , cone (formal languages) , pure mathematics , metrization theorem , space (punctuation) , convex metric space , topological space , injective metric space , topology (electrical circuits) , mathematical analysis , computer science , combinatorics , separable space , algorithm , business , operating system , marketing
The aim of this work is to extend interesting results on the metrizability of cone metric spaces as it appears in the literature. In this paper we appeal to quasiuniformities and uniformities to prove that a quasicone metric space is qausimetrizable, and from our results we will deduce that every cone metric space is metrizable; our approach is more on bitopological and topological properties and differs from the one used by the papers mentioned above but affirms some of their results

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