A MOORE SPACE WITH CALIBER (OMEGA-1, OMEGA) BUT WITHOUT CALIBER OMEGA-1

被引：4
|
作者：
REED, GM
MCINTYRE, DW
机构：
[1] COMP LAB,OXFORD,ENGLAND
[2] MATH INST,OXFORD OX1 3LB,ENGLAND
来源：
TOPOLOGY AND ITS APPLICATIONS | 1992年 / 44卷 / 1-3期
关键词：
CALIBER OMEGA-1; CALIBER; (OMEGA-1; OMEGA); POINT-COUNTABLE BASE; SIGMA-CLOSED-DISCRETE; MOORE SPACE;
D O I：
10.1016/0166-8641(92)90105-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A topological space has calibre omega-1 (respectively calibre (omega-1, omega) if every point-countable (respectively point-finite) family of nonempty open sets is countable. An example is given in ZFC of a zero-dimensional, sigma-closed-discrete Moore space with a point-countable base which has calibre (omega-1, omega) but not calibre omega-1.
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页码：325 / 329
页数：5
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