Affiliation:
1. 1 Department of Mathematics , Jadavpur University , Kolkata , West Bengal , India
Abstract
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),τsℬ), some properties like ℐ-strictly Frèchet Urysohn, ℐ-Reznichenko property are investigated.
Subject
General Earth and Planetary Sciences,General Environmental Science
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