Geodesic
Certain observations on statistical variations of bornological covers
Filomat, Tome 35 (2021) no. 7, p. 2303

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DOI

We primarily make a general approach to the study of open covers and related selection principles using the idea of statistical convergence in metric space. In the process we are able to extend some results in (Caserta et al. 2012; Chandra et al. 2020) where bornological covers and related selection principles in metric spaces have been investigated using the idea of strong uniform convergence (Beer and Levi, 2009) on a bornology. We introduce the notion of statistical-γBs -cover, statistically-strong-B- Hurewicz and statistically-strong-B-groupable cover and study some of its properties mainly related to the selection principles and corresponding games. Also some properties like statistically-strictly Frèchet Urysohn, statistically-Reznichenko property and countable fan tightness have also been investigated in C(X) with respect to the topology of strong uniform convergence τs B
DOI : 10.2298/FIL2107303D
Classification : 54D20 54A20, 54C35, 54A25
Keywords: Bornology, selection principles, topology of strong uniform convergence, statistical convergence, open Bs-cover, γBs - cover, s-γBs -cover, s-Bs-Hurewicz property, s-Reznichenko property, s-strictly Frèchet Urysohn property 
Subhankar Das; Debraj Chandra. Certain observations on statistical variations of bornological covers. Filomat, Tome 35 (2021) no. 7, p. 2303 . doi: 10.2298/FIL2107303D
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     author = {Subhankar Das and Debraj Chandra},
     title = {Certain observations on statistical variations of bornological covers},
     journal = {Filomat},
     pages = {2303 },
     year = {2021},
     volume = {35},
     number = {7},
     doi = {10.2298/FIL2107303D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2107303D/}
}
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