Some Observations on Ideal Variations of Bornological Covers

Das, Subhankar

doi:10.2478/tmmp-2023-0020

Abstract

In this article, we use the notion of ideals to study open covers and related selection principles, and thus, we extend some results in (Caserta et al. 2012; Chandra et al. 2020) where open covers and related selection principles have been investigated using the idea of strong uniform convergence (Beer and Levi, 2009) on a bornology. We introduce the notions of ℐ-γ_ℬ s -cover, ℐ-strong-ℬ-Hurewicz and ℐ-strong-ℬ-groupable cover. Also, in (C(X),τs_ℬ), some properties like ℐ-strictly Frèchet Urysohn, ℐ-Reznichenko property are investigated.

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Some Observations on Ideal Variations of Bornological Covers

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