Lattices of uniformly continuous functions determine their sublattices of bounded functions

被引：2

作者：

Husek, Miroslav ^{[1
,2
]}

机构：

[1] Charles Univ Prague, Prague 8, Czech Republic

[2] Purkyne Univ, Usti Nad Labem, Czech Republic

来源：

TOPOLOGY AND ITS APPLICATIONS | 2015年 / 182卷

关键词：

Lattice of functions; Uniform continuity;

D O I：

10.1016/j.topol.2014.12.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If two uniform spaces have isomorphic lattices of their uniformly continuous real-valued functions then also their sublattices of bounded functions are isomorphic. That result is used to give a different correct proof of Shirota theorem (complete metric spaces are determined by their uniformly continuous real-valued functions) than that in [1]. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：71 / 76

页数：6

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