A multidimensional generalization of the Steinhaus theorem

Mathematical Communications

Crnjac, M.¹ 

关键词: measurable set;    Lebesgue measure;    outer Lebesgue measure;    compact set;    closed 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 】

Steinhaushasshownthatthesubsetof$\R$oftheformA+B={a+b:a\inA,b\inB\}containsanintervalprovidedbothsets$A\in\R$and$B\in\R$havepositiveLebesguemeasure.Inthepresentpapertheauthorgeneralizesthisfactto...

【 授权许可】

Unknown