A weakly chainable uniquely arcwise connected continuum without the fixed point property

被引：2

作者：

Sobolewski, Miroslaw ^{[1
]}

机构：

[1] Warsaw Univ, Dept Math Informat & Mech, PL-02097 Warsaw, Poland

来源：

FUNDAMENTA MATHEMATICAE | 2015年 / 228卷 / 01期

关键词：

continuum; arcwise connected; chainable; fixed point; PLANE CONTINUA;

D O I：

10.4064/fm228-1-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A continuum is a metric compact connected space. A continuum is chainable if it is an inverse limit of arcs. A continuum is weakly chainable if it is a continuous image of a chainable continuum. A space X is uniquely arcwise connected if any two points in X are the endpoints of a unique arc in X. D. P. Bellamy asked whether if X is a weakly chainable uniquely arcwise connected continuum then every mapping f : X -> X has a fixed point. We give a counterexample.

引用

页码：81 / 86

页数：6

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