3 papers
math.GM2026
On the family of measurable sets having the upper positive density
Jacek Hejduk, Renata Wiertelak, Władysław Wilczyński
The essence of the density topology lies in the family of Lebesgue measurable sets where each point of a set is a density point of that set. The motivation of this work is to inves…
math.GN2022
Baire Category Lower Density Operators with Borel Values
Marek Balcerzak, Jacek Hejduk, Artur Wachowicz
We prove that the lower density operator associated with the Baire category density points in the real line has Borel values of class which is analogous to the measure…
math.GN2021
On Urysohn's Lemma for generalized topological spaces in ZF
Jacek Hejduk, Eliza Wajch
A strong generalized topological space is an ordered pair such that is a set and is a collection of subsets of such…