Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence

Jesús Rodríguez-López

Abstract

We study the double Fell topology when this hypertopology is constructed over a quasi-pseudo-metric space. In particular, its relationship with the Wijsman hypertopology is studied. We also propose an extension of the Kuratowski-Painlevé convergence in the bitopological setting.

Keywords

Quasi-pseudo-metric; Double topological space; Fell topology; Wijsman topology; Kuratowski-Painlevé convergence

Subject classification

54B20; 54E35; 54E55

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Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt