Absolutely convex modules and Saks spaces

被引：5

作者：

Pumplün, D ^{[1
]}

机构：

[1] Fern Univ Hagen, GHS, Fachbereich Math, D-58084 Hagen, Germany

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2001年 / 155卷 / 2-3期

关键词：

D O I：

10.1016/S0022-4049(99)00103-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Absolutely or totally convex modules are a canonical generalization of absolutely or countably absolutely convex sets in linear spaces. There are canonical connections between the category of absolutely convex modules and the category of Saks spaces, each of which is given by a pair of adjoint functors. Corresponding results hold for totally convex modules. (C) 2001 Elsevier Science B.V. All rights reserved. MSG: 52A01; 46A70; 46M15; 46A55.

引用

页码：257 / 270

页数：14

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