Affiliation:
1. Department of Mathematics, Malaviya National Institute of Technology Jaipur, Jaipur, Rajasthan, India
Abstract
The strong Whitney convergence on bornology introduced by Caserta in [9] is a
generalization of the strong uniform convergence on bornology introduced by
Beer-Levi in [5]. This paper aims to study some important topological
properties of the space of all real valued continuous functions on a metric
space endowed with the topologies of Whitney and strong Whitney convergence
on bornology. More precisely, we investigate metrizability, various
countability properties, countable tightness, and Fr?chet property of these
spaces. In the process, we also present a new characterization for a
bornology to be shielded from closed sets.
Publisher
National Library of Serbia
Cited by
2 articles.
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1. CLOPEN LINEAR SUBSPACES AND CONNECTEDNESS IN FUNCTION SPACES;Rocky Mountain Journal of Mathematics;2023-10-01
2. Cardinal Functions, Bornologies and Strong Whitney convergence;Bulletin of the Belgian Mathematical Society - Simon Stevin;2022-12-20