Partial quasi-metrics

Partial quasi-metrics
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DOI:
10.1016/j.tcs.2006.07.050
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发表时间:
2006-11
期刊:
Theor. Comput. Sci.
影响因子:
--
通讯作者:
H. Künzi;H. Pajoohesh;M. Schellekens
H. Künzi;H. Pajoohesh;M. Schellekens
中科院分区:
其他
文献类型:
--
作者:
H. Künzi;H. Pajoohesh;M. Schellekens

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在本文中,我们介绍并研究了部分拟度量的概念及其一些应用。我们表明,马修斯部分度量理论中研究的许多重要结构仍然可以在这个更一般的环境中成功使用。特别是,我们考虑与部分拟度量空间相关的拟度量空间的双完备,并研究其在群和 BCK 代数中的应用。
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.