The C-topology on lattice-ordered groups

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：shi12345600

【摘要】

：

Let A be a lattice-ordered group. Gusi′c showed that A can be equipped with a C-topology which makes A into a topological group. We give a generalization of Gu

【作者】

：

YiChuan Yang (1)

【机构】

：

1.DepartmentofMathematics

【出处】

：

中国科学：数学英文版

【发表日期】

：

2009年11期

【关键词】

：

C-topology lattice-ordered GROUP ARCHIMEDEAN lattice-ordered GROUP Hausdorff TOP

【基金项目】

：

supported by the Fund of Elitist Development of Beijing (Grant No. 20071D1600600412),the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry

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Let A be a lattice-ordered group. Gusi′c showed that A can be equipped with a C-topology which makes A into a topological group. We give a generalization of Gusi′c’s theorem,and reveal the very nature of a 'C-group' of Gusi′c in this paper. Moreov

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The C-topology on lattice-ordered groups

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