ON SLIGHT HOMOGENEOUS AND COUNTABLE DENSE HOMOGENEOUS SPACES

被引：0

作者：

Al Ghour, Samer ^{[1
]}

Al Khatib, Nahed ^{[1
]}

机构：

[1] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan

来源：

MATEMATICKI VESNIK | 2011年 / 63卷 / 02期

关键词：

Clopen sets; slight continuity; extremally disconnected spaces; homogeneity; countable dense homogeneity; homogeneous components;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As two separated concepts connectedness and homogeneity are generalized by slight homogeneity. Sum theorems and product theorems regarding slight homogeneous spaces are obtained. Many results concerning slight homogeneous components are given. Also, SCDH spaces generalize CDH spaces. It is proved in an extremally disconnected SCDH space that, all slightly homogenous components are clopen and SCDH subspaces. Many other results and many examples and counter-examples concerning slight homogeneity and SCDH spaces are obtained.

引用

页码：133 / 144

页数：12

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