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Zbl 0911.54025
Matthews, S.G.
Partial metric topology. (English)
[A] Andima, Susan (ed.) et al., Papers on general topology and applications. Papers from the 8th summer conference at Queens College, New York, NY, USA, June 18--20, 1992. New York, NY: The New York Academy of Sciences. Ann. N. Y. Acad. Sci. 728, 183-197 (1994). ISBN 0-89766-817-0/hbk; ISBN 0-89766-818-9/pbk

Summary: Metric spaces are inevitably Hausdorff and so cannot, for example, be used to study non-Hausdorff topologies such as those required in the Tarskian approach to programming language semantics. This paper presents a symmetric generalized metric for such topologies, an approach which sheds new light on how metric tools such as Banach's theorem can be extended to non-Hausdorff topologies.

MSC 2000:: *54E35 Metric spaces, metrizability
68Q55 Semantics
68Q60 Specification and verification of programs

Keywords: quasi-metric; symmetric generalized metric

Cited in: Zbl 1256.54068 Zbl 1255.54014 Zbl 1244.03143 Zbl 1238.54017 Zbl 1238.54027 Zbl 1237.54038 Zbl 1207.54051 Zbl 1207.54052 Zbl 1109.54021 Zbl 1087.54020 Zbl 1043.54011 Zbl 1098.54027 Zbl 0993.54029 Zbl 0915.54023

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