English

Bornological modifications of hyperspace topologies

General Topology 2013-04-10 v1

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.

Keywords

Cite

@article{arxiv.1304.2537,
  title  = {Bornological modifications of hyperspace topologies},
  author = {Tom Vroegrijk},
  journal= {arXiv preprint arXiv:1304.2537},
  year   = {2013}
}
R2 v1 2026-06-21T23:56:27.546Z