an:01257195
Zbl 0911.54025
Matthews, S. G.
Partial metric topology
EN
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).
1994
a
54E35 54H25 47H10 68Q55 68Q60
quasi-metric; symmetric generalized metric
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.
For the entire collection see [Zbl 0903.00047].