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

Jesús Rodríguez-López

Spain

Universitat Politècnica de Vaència

Dpto. de Matemática Aplicada

Submitted: 2014-05-26

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Accepted: 2014-05-26

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Published: 2001-04-01

DOI: https://doi.org/10.4995/agt.2001.3011
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Keywords:

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

Supporting agencies:

This research was not funded

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.
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