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arXiv · 1304.2537

Bornological modifications of hyperspace topologies

Tom Vroegrijk
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Abstract

The bornological convergence structures that have been studied recently as generalizations of Attouch-Wets convergence define pretopologies on hyperspaces. In this paper we characterize the topological reflections of these pretopologies and translate the constructions necessary to define bornological convergence to a broader spectrum of hyperspace topologies.

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Tom Vroegrijk. 2013-04-09. Bornological modifications of hyperspace topologies. https://arxiv.org/abs/1304.2537

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