Cantor extension of an abelian lattice ordered group equipped with a weak relatively uniform convergence

Mathematica Slovaca

Ján Jakubík¹  Štefan Černák¹ 

关键词: abelian lattice ordered group;    weak relatively uniform convergence;    Cantor extension;    Dedekind completion;    archimedean kernel;   

DOI  :  10.2478/s12175-012-0049-2

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

The notion of weak relatively uniform convergence (wru-convergence, for short) on an abelian lattice ordered group G has been investigated in a previous authors’ article. In the present paper we deal with Cantor extension of G and completion of G with respect to a wru-convergence on G.

【 授权许可】

Unknown