Topologies of (strong) uniform convergence on bornologies
General Topology
2012-07-09 v1
Abstract
We continue the study of topologies of strong uniform convergence on bornologies initiated in [G. Beer and S. Levi, Strong uniform continuity, J. Math Anal. Appl., 350:568-589, 2009] and [G. Beer and S. Levi, Uniform continuity, uniform convergence and shields, Set-Valued and Variational Analysis, 18:251-275, 2010]. We study cardinal invariants of topologies of (strong) uniform convergence on bornologies on the space of continuous real-valued functions and we also generalize some known results from the literature.
Keywords
Cite
@article{arxiv.1207.1586,
title = {Topologies of (strong) uniform convergence on bornologies},
author = {Lubica Holá and Branislav Novotný},
journal= {arXiv preprint arXiv:1207.1586},
year = {2012}
}