Cleavability over ordinals

被引：0
|
作者：
Levine, Shari [1 ]
机构：
[1] Univ Oxford, Math Inst, Oxford OX1 3LB, England
来源：
TOPOLOGY AND ITS APPLICATIONS | 2013年 / 160卷 / 12期
关键词：
Cleavability; Linearly ordered topological space (LOTS); Ordinal; Homeomorphism;
D O I：
10.1016/j.topol.2013.05.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we show that if X is an infinite compactum cleavable over an ordinal, then X must be homeomorphic to an ordinal. X must also therefore be a LOTS. This answers two fundamental questions in the area of cleavability. We also leave it as an open question whether cleavability of an infinite compactum X over an ordinal lambda implies X is embeddable into lambda. (C) 2013 Published by Elsevier B.V.
引用
收藏
页码：1456 / 1465
页数：10
相关论文
共 50 条
12345