Some Observations on Ideal Variations of Bornological Covers

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.