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arXiv · 1207.1586

Topologies of (strong) uniform convergence on bornologies

Lubica Holá·Branislav Novotný
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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.

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Lubica Holá, Branislav Novotný. 2012-07-06. Topologies of (strong) uniform convergence on bornologies. https://arxiv.org/abs/1207.1586

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