Partial Metric Topology
| Autor: | S. G. Matthews |
|---|---|
| Rok vydání: | 1994 |
| Předmět: |
Discrete mathematics
Computer science General Neuroscience Injective metric space MathematicsofComputing_NUMERICALANALYSIS Mathematics::General Topology General Biochemistry Genetics and Molecular Biology Intrinsic metric Convex metric space Metric space ComputingMethodologies_PATTERNRECOGNITION Hausdorff distance History and Philosophy of Science Hausdorff dimension Metric (mathematics) Computer Science::Programming Languages Hausdorff measure |
| Zdroj: | Annals of the New York Academy of Sciences. 728:183-197 |
| ISSN: | 1749-6632 0077-8923 |
| DOI: | 10.1111/j.1749-6632.1994.tb44144.x |
| Popis: | 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 generalised 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. |
| Databáze: | OpenAIRE |
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