Bornological modifications of hyperspace topologies

DOI10.1016/J.TOPOL.2013.10.035zbMath1286.54011arXiv1304.2537OpenAlexW1972854033MaRDI QIDQ386217

Tom Vroegrijk

Publication date: 9 December 2013

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.2537

zbMATH Keywords

closure operatorHausdorff distancebornological convergencebornologyhyperspace topologypretopology

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Topological spaces and generalizations (closure spaces, etc.) (54A05) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Cites Work

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• Some properties of bornological convergences
• The topology of the \(\rho\)-Hausdorff distance
• Bornological convergences
• All hypertopologies are hit-and-miss

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