ON THE L-EQUIVALENCE OF METRIC-SPACES

被引：9

作者：

BAARS, J

DEGROOT, J

机构：

[1] UNIV AMSTERDAM,FAC WISKUNDE & INFORMAT,1018 TV AMSTERDAM,NETHERLANDS

[2] FREE UNIV AMSTERDAM,FAC WISKUNDE & INFORMAT,1081 HV AMSTERDAM,NETHERLANDS

来源：

FUNDAMENTA MATHEMATICAE | 1991年 / 137卷 / 01期

关键词：

FUNCTION SPACE; L-EQUIVALENCE; COUNTABLE METRIC SPACE;

D O I：

10.4064/fm-137-1-25-43

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we present topological properties of metric spaces which are preserved by l-equivalence. Furthermore, we present an isomorphic classification of the function spaces C(p)(X) where X is any countable metric space with scattered height less than or equal to omega.

引用

页码：25 / 43

页数：19

共 12 条

[1]

Arkhangelskii A. V., 1982, SOV MATH DOKL, V25, P852

[2]

ARKHANGELSKII AV, 1981, GENERAL TOPOLOGY ITS, V5, P24

[3] ON TOPOLOGICAL AND LINEAR HOMEOMORPHISMS OF CERTAIN FUNCTION-SPACES [J].