4 papers
On non-Baire rare sets in category bases
Sanjib Basu, Abhit Chandra Pramanik
In this paper, we deal with non-Baire rare sets in category bases which forms -independent family, where a rare set is a common generalization of both Luzin and Sierpinsk…
Sum of two rare sets in a category base can be absolutely non-baire
Sanjib Basu, abhit Chandra Pramanik
In this paper, we give generalized version in category bases of a result of Kharazishvili dealing with absolute nonmeasurability of the Minkowski sum of certain universal measure z…
A note on sets avoiding rational distances in category bases
Sanjib Basu, Abhit Chandra Pramanik
Michalski gave a short and elegant proof of a theorem of A. Kumar which states that for each set A in R, there exists a subset B of A which is full in A and such that no distance b…
Generalization of two theorems of Steinhaus in category bases
Sanjib Basu, Abhit Chandra Pramanik
Here we unify two results of Steinhaus and their corresponding category analogues by extending them in the settings of category bases. We further show that in any perfect translati…