On the ideal (ν0)

被引：3
|
作者：
Kalemba, Piotr [1 ]
Plewik, Szymon [1 ]
Wojciechowska, Anna [1 ]
机构：
[1] Silesian Univ, Inst Math, PL-40007 Katowice, Poland
来源：
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2008年 / 6卷 / 02期
关键词：
base nu-matrix; doughnut; ideal type; ideal (nu(0));
D O I：
10.2478/s11533-008-0021-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The sigma-ideal (nu(0)) is associated with the Silver forcing, see [5]. Also, it constitutes the family of all completely doughnut null sets, see [9]. We introduce segment topologies to state some resemblances of (nu(0)) to the family of Ramsey null sets. To describe add(nu(0)) we adopt a proof of Base Matrix Lemma. Consistent results are stated, too. Halbeisen's conjecture cov(nu(0))= add(nu(0)) is confirmed under the hypothesis t = min{cf(c);r}. The hypothesis conv(nu(0)) = omega(1) implies that (nu(0)) has the ideal type (c, omega(1), c).
引用
收藏
页码：218 / 227
页数：10
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