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arXiv:1705.04152 [math.GN]AbstractReferencesReviewsResources

Introducing a new concept of distance on a topological space by generalizing the definition of quasi-pseudo-metric

Hamid Shobeiri

Published 2017-05-11Version 1

In this paper, a new structure is defined on a topological space that equips the space with a concept of distance in order to do that firstly, a generalization of quasi-pseudo-metric space named R.O-metric space is introduced, and some of its basic properties is studied. Afterwards the concept of generalized R.O-metric space is defined .Finally, we establish that every topological space is generalized R.O-metrizable.

Comments: 12 pages and 2 figures in pdf format
Categories: math.GN
Subjects: 54D80, 54D35, 54E35, 54E99, 54D65
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