Uniform density $u$ and $\I_u$-convergence on a big set

Mathematical Communications

Szuca, Piotr¹  Filipów, Rafał¹  Mrożek, Nikodem¹  Barbarski, Paweł¹ 

[1] Institute of Mathematics, University of Gdańsk, Gdańsk, Poland

关键词: uniform statistical density;    statistical density;    ideal convergence;    Bolzano-Weierstrass property;    P-ideal;    nonatomic submeasure;    Borel set;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Sveuciliste Josipa Jurja Strossmayera u Osijeku * Odjel za Matematiku / University of Osijek, Department of Mathematics

【 摘 要 】

Wepointoutthat$\I_u$-convergence(where$\I_u$standsfortheidealofuniformdensityzerosets)isnotequivalenttotheconvergenceonasetfromthedualfilter.Moreover,weshowthatthereareboundedsequenceswhicharenot...

【 授权许可】

Unknown