On the cardinality and weight spectra of compact spaces, II

被引：0

作者：

Juhasz, I

Shelah, S

机构：

[1] Hungarian Acad Sci, Inst Math, H-1364 Budapest, Hungary

[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA

[3] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

来源：

FUNDAMENTA MATHEMATICAE | 1998年 / 155卷 / 01期

关键词：

cardinality and weight spectrum; compact space; homomorphism of Boolean algebras;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let B(kappa, lambda) be the subalgebra of P(kappa) generated by [kappa](less than or equal to lambda). It is shown that if B is any homomorphic image of B(kappa, lambda) then either \B\ < 2(lambda) or \B\ = \B\(lambda); moreover, if X is the Stone space of B then either \X\ less than or equal to 2(2 lambda) or \X\ = \B\ = \B\(lambda). This implies the existence of 0-dimensional compact T-2 spaces whose cardinality and weight spectra omit lots of singular cardinals of "small" cofinality.

引用

页码：91 / 94

页数：4