ON PERFECT IMAGES OF ORDINALS

被引：2

作者：

Rajagopalan, M. ^{[1
]}

Soundararajan, T. ^{[1
]}

Jakel, D. ^{[1
]}

机构：

[1] Madurai Univ, Madurai, Tamil Nadu, India

来源：

TOPOLOGY AND ITS APPLICATIONS | 1980年 / 11卷 / 03期

关键词：

Chain compact spaces; scattered spaces; interweave; Chandelier space; well-ordered sum; 1; alpha);

D O I：

10.1016/0166-8641(80)90030-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the first section of this paper, the ordinal space [1, Omega] is characterized. Then its quotients are completely described in easy terms. In the second section, the ideas of a well-ordered sum of an arbitrary collection of T(2) spaces and a Chandelier space are introduced. The Chandelier spaces are obtained by taking compact ordinals and forming their interweaves and well ordered sums and one-point compactification of such spaces. Finally it is proved that the Hausdoti quotients of compact ordinals are precisely the Chandelier spaces. A problem of M. Husek on quotients of [1, Omega] is thus solved.

引用

页码：305 / 318

页数：14