Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence (Q2756140)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence |
scientific article; zbMATH DE number 1672573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence |
scientific article; zbMATH DE number 1672573 |
Statements
Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence (English)
0 references
12 November 2001
0 references
hyperspace
0 references
double topological space
0 references
bitopological space
0 references
Fell topology
0 references
quasi-metric
0 references
Wijsman topology
0 references
Vietoris topology
0 references
0.8799199
0 references
0 references
0.86755174
0 references
In 1962 \textit{J. M. G. Fell} introduced a new hypertopology in connection with his study of \(C^*\)-algebras [Proc. Am. Math. Soc. 13, 472-476 (1962; Zbl 0106.15801)]. Along with other hypertopologies, the Fell topology has proved to be quite useful. In this paper the author studies an analogue, the double Fell topology, in the context of quasi-metric spaces. He studies the relationship among the above topology with the Wijsman topology, the Vietoris topology and the Kuratowski-Painlevé convergence in the bitopological setting. The paper is clearly written with abundant examples.
0 references
