Continua on which all real-valued connected functions are connectivity functions

被引：0

作者：

Nadler, SB ^{[1
]}

机构：

[1] W Virginia Univ, Dept Math, Morgantown, WV 26506 USA

来源：

TOPOLOGY PROCEEDINGS, VOL 28, NO 1, 2004 | 2004年 / 28卷 / 01期

关键词：

almost continuous; connected function; connectivity function; continuum; Darboux function; dendrite; Peano continuum;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown that the continua on which every connected real-valued function is a connectivity function, as well as the continua on which every connected real-valued function is a Darboux function, are precisely the dendrites X each of whose arcs contains only finitely many branch points of X.

引用

页码：229 / 239

页数：11

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