Concerning continua that contain no metric subcontinua

被引：0

作者：

Daniel, D ^{[1
]}

Nikiel, J

Treybig, LB

Tuncali, M

Tymchatyn, ED

机构：

[1] Lamar Univ, Dept Math, Beaumont, TX 77710 USA

[2] Amer Univ Beirut, Dept Math, Beirut, Lebanon

[3] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[4] Nipissing Univ, Fac Arts & Sci, N Bay, ON P1B 8L7, Canada

[5] Univ Saskatchewan, Dept Math, Saskatoon, SK S7N 0W0, Canada

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2004年 / 30卷 / 03期

关键词：

locally connected continuum; ordered compactum; rim-finite;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In earlier work the authors raised the following question. Let X denote a locally connected continuum such that X is rim-metric and such that X contains no nondegenerate metric subcontinuum. Is X rim-finite and therefore the continuous image of a compact ordered space? Herein we study this question. In so doing, we obtain analogues of a classical result of Whyburn.

引用

页码：745 / 750

页数：6

共 12 条

[1]

Daniel D., 2001, QUESTIONS ANSWERS GE, V19, P187

[2]

Dickman R.F., 1988, DISS MATH, VCCLXII

[3] IMAGES OF ORDERED COMPACTA ARE LOCALLY PERIPHERALLY METRIC [J].