Partial quasi-metrics

H. P.A. Künzi; H. Pajoohesh; M. P. Schellekens

doi:10.1016/j.tcs.2006.07.050

Partial quasi-metrics

H. P.A. Künzi
, H. Pajoohesh
, M. P. Schellekens

School of Computer Science and Information Technology

Research output: Contribution to journal › Article › peer-review

Abstract

In this article we introduce and investigate the concept of a partial quasi-metric and some of its applications. We show that many important constructions studied in Matthews's theory of partial metrics can still be used successfully in this more general setting. In particular, we consider the bicompletion of the quasi-metric space that is associated with a partial quasi-metric space and study its applications in groups and BCK-algebras.

Original language	English
Pages (from-to)	237-246
Number of pages	10
Journal	Theoretical Computer Science
Volume	365
Issue number	3
DOIs	https://doi.org/10.1016/j.tcs.2006.07.050
Publication status	Published - 12 Nov 2006

Keywords

BCK-algebra
Bicompletion
Completion
Partial metric
Partial quasi-metric
Quasi-metric
Quasi-norm
Weight

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10.1016/j.tcs.2006.07.050

Cite this

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abstract = "In this article we introduce and investigate the concept of a partial quasi-metric and some of its applications. We show that many important constructions studied in Matthews's theory of partial metrics can still be used successfully in this more general setting. In particular, we consider the bicompletion of the quasi-metric space that is associated with a partial quasi-metric space and study its applications in groups and BCK-algebras.",

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AU - Künzi, H. P.A.

AU - Pajoohesh, H.

AU - Schellekens, M. P.

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N2 - In this article we introduce and investigate the concept of a partial quasi-metric and some of its applications. We show that many important constructions studied in Matthews's theory of partial metrics can still be used successfully in this more general setting. In particular, we consider the bicompletion of the quasi-metric space that is associated with a partial quasi-metric space and study its applications in groups and BCK-algebras.

AB - In this article we introduce and investigate the concept of a partial quasi-metric and some of its applications. We show that many important constructions studied in Matthews's theory of partial metrics can still be used successfully in this more general setting. In particular, we consider the bicompletion of the quasi-metric space that is associated with a partial quasi-metric space and study its applications in groups and BCK-algebras.

KW - BCK-algebra

KW - Bicompletion

KW - Completion

KW - Partial metric

KW - Partial quasi-metric

KW - Quasi-metric

KW - Quasi-norm

KW - Weight

UR - https://www.scopus.com/pages/publications/33750051067

U2 - 10.1016/j.tcs.2006.07.050

DO - 10.1016/j.tcs.2006.07.050

M3 - Article

AN - SCOPUS:33750051067

SN - 0304-3975

VL - 365

SP - 237

EP - 246

JO - Theoretical Computer Science

JF - Theoretical Computer Science

IS - 3

ER -

Partial quasi-metrics

Abstract

Keywords

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