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math.CT2021
Category bases that are equivalent to topologies
Abhit Chandra Pramani, Sanjib Basu, Atashi Deb Ray
In view of the fact that many of the most familiar examples of category bases are equivalent to some topology, it is natural to ask whether category bases are always topological in…
math.FA2021
A few remarks on non-Baire sets in category bases
Sanjib Basu, Atasi Deb Ray, Abhit Chandra Pramanik
In this paper, we first establish some equivalent formulations of non-Baire sets in category bases. We then introduce the notion of an uniform non-Baire family of sets and show tha…