Cleavability in ordered spaces

被引：3
作者：
Bennett, H
Byerly, R
Lutzer, D
机构：
[1] Texas Tech Univ, Lubbock, TX 79409 USA
[2] Coll William & Mary, Williamsburg, VA 23187 USA
来源：
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2001年 / 18卷 / 01期
关键词：
cleavability; linearly ordered space; generalized ordered space; divisibility;
D O I：
10.1023/A:1010682504379
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the role of cleavability and divisibility in the topology of generalized ordered (GO-)spaces. We characterize cleavability of a GO-space over the class of metrizable spaces, and over the spaces of irrational and rational numbers. We present a series of examples related to characterizations of cleavability over separable metric spaces and over the space of real numbers.
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页码：1 / 17
页数：17
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