Received March 19, 2024. Published online March 3, 2025.
Abstract: We deal with non-Baire rare sets in category bases which forms $\aleph_0$-independent family, where a rare set is a common generalization of both Luzin and Sierpinski set.
Affiliations: Sanjib Basu (corresponding author), Department of Mathematics, Bethune College, 181 Bidhan Sarani, Kolkata 700 006, West Bengal, India e-mail: sanjibbasu08@gmail.com; Abhit Chandra Pramanik, Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata 700019, West Bengal, India, e-mail: abhit.pramanik@gmail.com