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math.GN2021
On completely non-Baire union in category bases
Sanjib Basu, Atasi Deb Ray, Abhit Chandra Pramanik
In this paper, we intend to show that under not too restrictive conditions, results much stronger than the one obtained earlier by Hejduk could be established in category bases.
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…
math.FA2021
On non-Baire sets in category bases
Sanjib Basu, Atasi Deb Ray, Abhit Chandra Pramanik
In this paper, we prove a result on non-Baire sets in category bases which when applied together with a result of Grzegorek yeilds a comparatively stronger version of a decompositi…