CONTINUOUS IMAGES OF ORDERED COMPACTA ARE REGULAR SUPERCOMPACT

被引：5

作者：

BULA, W ^{[1
]}

NIKIEL, J ^{[1
]}

TUNCALI, HM ^{[1
]}

TYMCHATYN, ED ^{[1
]}

机构：

[1] UNIV SASKATCHEWAN,DEPT MATH,SASKATOON S7N 0W0,SASKATCHEWAN,CANADA

来源：

TOPOLOGY AND ITS APPLICATIONS | 1992年 / 45卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

SUPERCOMPACT; REGULAR SUPERCOMPACT; COMPACT ORDERED SPACE; ORDERED CONTINUUM; CONTINUOUS IMAGE; T-SET;

D O I：

10.1016/0166-8641(92)90005-K

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that each Hausdorff space which is the continuous image of a compact ordered space is regular supercompact. In particular, each rim-finite continuum is supercompact. The latter corollary provides a positive answer to a 1977 question of J. van Mill.

引用

页码：203 / 221

页数：19

共 32 条

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