Uniform continuity of a family of weakly regular set functions on topological spaces

被引：4

作者：

Klimkin, VM ^{[1
]}

Sribnaya, TA ^{[1
]}

机构：

[1] Samara State Univ, Samara 443086, Russia

来源：

MATHEMATICAL NOTES | 2003年 / 74卷 / 1-2期

关键词：

set functions on subsets of a sigma-topological space; weakly regular set functions; uniformly weakly continuous set functions; uniformly continuous set functions; uniformly exhaustive set functions; uniformly quasi-triangular set functions;

D O I：

10.1023/A:1025015115799

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Conditions for the uniform continuity of a family of weakly regular set functions defined on an algebra Sigma superset of eta of subsets of a sigma-topological space (T, eta) and taking values in an arbitrary topological space are found.

引用

页码：56 / 63

页数：8

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