8 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…
A Kuratowski theorem revisited
Sanjib Basu, Abhit Chandra Pramanik
If is a function having Baire property from a metric space into a separable metric space , then is continuous except on a set of first category. Kurato…
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…
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.
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…
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…