Showing 2022Show all
2 papers · 1 filter
math.FA2022
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…
math.GN2022
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…