Relative topological finiteness

被引：1

作者：

Tsereteli, Ivane ^{[1
]}

机构：

[1] St Andrew First Called Georgian Univ Patriarchate, GE-0179 Tbilisi, Georgia

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2015年 / 22卷 / 04期

关键词：

Topologically finite; relative; long line; G(delta)-subspace;

D O I：

10.1515/gmj-2015-0045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of relative topological finiteness is introduced. A Hausdorff compact space is constructed, which is homeomorphic to none of its proper G(delta)-subspaces, but is homeomorphic to its proper (not G(delta))-subspace. This example shows that the class of all normal spaces which are topologically finite with respect to the class of all their proper G(delta)-subspaces does not coincide with the class of all normal topologically finite spaces.

引用

页码：573 / 579

页数：7