Simple complete Boolean algebras

被引:0
作者
Jech, T
Shelah, S
机构
[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA
[2] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
关键词
D O I
10.1090/S0002-9939-00-05566-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For every regular cardinal kappa there exists a simple complete Boolean algebra with kappa generators.
引用
收藏
页码:543 / 549
页数:7
相关论文
共 50 条
[41]   ON THE STRUCTURE OF VECTOR MEASURES AND COMPLETE BOOLEAN-ALGEBRAS [J].
KUSRAYEV, AG .
DOKLADY AKADEMII NAUK SSSR, 1991, 318 (06) :1312-1315
[42]   CONDITIONAL PROBABILITY ON SIGMA-COMPLETE BOOLEAN ALGEBRAS [J].
BOES, AJ .
ANNALS OF MATHEMATICAL STATISTICS, 1969, 40 (03) :970-&
[43]   MA(ℵ0) restricted to complete Boolean algebras and choice [J].
Tachtsis, Eleftherios .
MATHEMATICAL LOGIC QUARTERLY, 2021, 67 (04) :420-431
[44]   PRECIPITOUSNESS OF A SUM OF IDEALS ON COMPLETE BOOLEAN-ALGEBRAS [J].
TAKAHASHI, J ;
KAJITORI, K .
ZEITSCHRIFT FUR MATHEMATISCHE LOGIK UND GRUNDLAGEN DER MATHEMATIK, 1988, 34 (04) :323-330
[45]   A posteriori convergence in complete Boolean algebras with the sequential topology [J].
Kurilic, Milos S. ;
Pavlovic, Aleksandar .
ANNALS OF PURE AND APPLIED LOGIC, 2007, 148 (1-3) :49-62
[46]   Rudin-Keisler posets of complete Boolean algebras [J].
Jipsen, P ;
Pinus, A ;
Rose, H .
MATHEMATICAL LOGIC QUARTERLY, 2001, 47 (04) :447-454
[47]   SIGMA-COMPLETE PRIME IDEALS IN BOOLEAN ALGEBRAS [J].
PRIKRY, K .
COLLOQUIUM MATHEMATICUM, 1971, 22 (02) :209-&
[48]   HOMOMORPHIC IMAGES OF SIGMA-COMPLETE BOOLEAN ALGEBRAS [J].
KOPPELBERG, S .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 51 (01) :171-175
[49]   The strong closure of $\sigma$-complete Boolean algebras of projections [J].
W. J. Ricker .
Archiv der Mathematik, 1999, 72 :282-288
[50]   POWER OF EXTREMALLY UNCONNECTED SPACES AND COMPLETE BOOLEAN ALGEBRAS [J].
VLADIMIR.DA ;
EFIMOV, BA .
DOKLADY AKADEMII NAUK SSSR, 1970, 194 (06) :1247-&