REMARKS ON PARTITIONER ALGEBRAS

被引：5

作者：

DOW, A ^{[1
]}

FRANKIEWICZ, R ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT MATH,ANN ARBOR,MI 48109

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 113卷 / 04期

关键词：

D O I：

10.2307/2048785

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Partitioner algebras are defined in [1] and are a natural tool for studying the properties of maximal almost disjoint families of subsets of omega. We answer negatively two questions which were raised in [1]. We prove that there is a model in which the class of partitioner algebras is not closed under quotients and that it is consistent that there is a Boolean algebra of cardinality N1 which is not a partitioner algebra.

引用

页码：1067 / 1070

页数：4