Between Maharam's and von Neumann's problems

被引：0

作者：

Farah, I

Zapletal, J

机构：

[1] York Univ, Dept Math & Stat, Toronto, ON M6G 1N5, Canada

[2] Inst Matemat, Belgrade, Serbia And Mont, Serbia

[3] Univ Florida, Dept Math & Stat, Gainesville, FL 32611 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2004年 / 11卷 / 5-6期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the context of definable algebras Maharam's and von Neumann's problems essentially coincide. Consequently, random forcing is the only definable ccc forcing adding a single real that does not make the ground model reals null, and the only pairs of definable ccc sigma-ideals with the Fubini property are (meager,meager) and (null,null).

引用

页码：673 / 684

页数：12

共 50 条

[1] MAHARAM TRACES ON VON NEUMANN ALGEBRAS
Chilin, V. I.
Zakirov, B. S.
METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2010, 16 (02): : 101 - 111
[2] A problem of von Neumann and Maharam about algebras supporting continuous submeasures
Todorcevic, S
FUNDAMENTA MATHEMATICAE, 2004, 183 (02) : 169 - 183
[3] von Neumann's Dream
Bowling, Michael
ADVANCES IN ARTIFICIAL INTELLIGENCE, AI 2016, 2016, 9673 : XV - XV
[4] von Neumann's revenge
不详
COMPUTER DESIGN, 1996, 35 (12): : 72 - 72
[5] Maharam's problem
Talagrand, Michel
ANNALS OF MATHEMATICS, 2008, 168 (03) : 981 - 1009
[6] On von Neumann’s inequality on the polydiscOn von Neumann’s inequality on the polydiscM. Hartz
Michael Hartz
Mathematische Annalen, 2025, 391 (4) : 5235 - 5264
[7] Interrelation between the convergence rates in von Neumann's and Birkhoff's ergodic theorems
Sedalishchev, V. V.
SIBERIAN MATHEMATICAL JOURNAL, 2014, 55 (02) : 336 - 348
[8] Interrelation between the convergence rates in von Neumann’s and Birkhoff’s ergodic theorems
V. V. Sedalishchev
Siberian Mathematical Journal, 2014, 55 : 336 - 348
[9] Maharam's problem
Talagrand, M
COMPTES RENDUS MATHEMATIQUE, 2006, 342 (07) : 501 - 503
[10] A multivariable von Neumann's inequality
Okayasu, T
PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2, 2000, 7 : 671 - 677

← 1 2 3 4 5 →