Note on metric spaces and continuous functions

被引：0

作者：

Tabor, J ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Math, PL-30059 Krakow, Poland

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2002年 / 61卷 / 1-2期

关键词：

continuity; Lipschitz functions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

W. RING, P. SCHOPF and J. SCHWAIGER showed in [RSS] that if E is a finite dimensional normed space then a function f : E --> R is continuous iff f circle gamma is continuous for every regular curve gamma : [0, 1] --> E. We investigate a similar problem for metric spaces and the class of Lipschitz curves.

引用

页码：119 / 123

页数：5