Fell type topologies of quasi-pseudo-metric spaces and the Kuratowski-Painlevé convergence
Keywords:Quasi-pseudo-metric, Double topological space, Fell topology, Wijsman topology, Kuratowski-Painlevé convergence
AbstractWe 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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