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Submitted June 27, 2023
Published 2023-06-27

Artículos

Vol. 7 No. 1 (2023): Visión Antataura

Partial metric spaces


DOI https://doi.org/10.48204/j.vian.v7n1.a3933

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References
DOI: 10.48204/j.vian.v7n1.a3933

Published: 2023-06-27

How to Cite

Lezcano, J., & Hernández, J. (2023). Partial metric spaces. Visión Antataura, 7(1), 168–184. https://doi.org/10.48204/j.vian.v7n1.a3933

Abstract

In this work the separation axiom of metric spaces is modified to introduce partial metric spaces, in which the selfdistance is not necessarily zero. An order relationship is defined in these spaces. A series of examples illustrating the concepts introduced was developed to serve as counterexamples demonstrating the independence of the definitions presented.

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