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).
引用
下载
收藏
页码：353 / 373
页数：21
相关论文
共 50 条
  • [31] Small diagonals and cardinal invariants
    Xuan, Wei-Feng
    Song, Yan-Kui
    TOPOLOGY AND ITS APPLICATIONS, 2019, 265
  • [32] Partition calculus and cardinal invariants
    Garti, Shimon
    Shelah, Saharon
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2014, 66 (02) : 425 - 434
  • [33] Coset spaces and cardinal invariants
    M. Fernández
    I. Sánchez
    M. Tkachenko
    Acta Mathematica Hungarica, 2019, 159 : 486 - 502
  • [34] COMBINATORIAL DICHOTOMIES AND CARDINAL INVARIANTS
    Raghavan, Dilip
    Todorcevic, Stevo
    MATHEMATICAL RESEARCH LETTERS, 2014, 21 (02) : 379 - 401
  • [35] CARDINAL INVARIANTS FOR THE Gδ TOPOLOGY
    Bella, Angelo
    Spadaro, Santi
    COLLOQUIUM MATHEMATICUM, 2019, 156 (01) : 123 - 133
  • [36] Submaximal spaces and cardinal invariants
    Corral, Cesar
    TOPOLOGY AND ITS APPLICATIONS, 2022, 314
  • [37] CARDINAL INVARIANTS ABOVE THE CONTINUUM
    CUMMINGS, J
    SHELAH, S
    ANNALS OF PURE AND APPLIED LOGIC, 1995, 75 (03) : 251 - 268
  • [38] On cardinal invariants for CCC σ-ideals
    Reclaw, I
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (04) : 1173 - 1175
  • [39] BOOLEAN INVARIANTS OF DATABASES
    BRONA, II
    CYBERNETICS, 1989, 25 (05): : 601 - 605
  • [40] MANY SIMPLE CARDINAL INVARIANTS
    GOLDSTERN, M
    SHELAH, S
    ARCHIVE FOR MATHEMATICAL LOGIC, 1993, 32 (03) : 203 - 221
12345