Constructing Boolean Algebras for cardinal invariants

被引：1
|
作者：
Shelah, S
机构：
[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
[2] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
来源：
ALGEBRA UNIVERSALIS | 2001年 / 45卷 / 04期
基金：
以色列科学基金会;
关键词：
set theory; Boolean algebras; pcf; cardinal invariants of Boolean algebras; automorphisms; endomorphisms; attainment of spread; semi-ZFC answers;
D O I：
10.1007/s000120050219
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct Boolean Algebras answering some questions of J. Donald Monk on cardinal invariants. The results are proved in ZFC (rather than giving consistency results). We deal with the existence of superatomic Boolean Algebras with "few automorphisms". with entangled sequences of linear orders. and with semi-ZFC examples of the non-attainment of the spread (and hL, hd).
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页码：353 / 373
页数：21
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