Strongly almost disjoint sets and weakly uniform bases

被引：4

作者：

Balogh, ZT ^{[1
]}

Davis, SW

Just, W

Shelah, S

Szeptycki, PJ

机构：

[1] Miami Univ, Dept Math, Oxford, OH 45056 USA

[2] Ohio Univ, Dept Math, Athens, OH 45701 USA

[3] Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel

[4] Rutgers State Univ, Piscataway, NJ 08855 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 352卷 / 11期

关键词：

GCH; rectangle; strongly almost disjoint families; weakly uniform base; point countable base;

D O I：

10.1090/S0002-9947-00-02599-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A combinatorial principle CECA is formulated and its equivalence with GCH + certain weakenings of square(lambda) for singular lambda is proved. CECA is used to show that certain "almost point-< tau" families can be refined to point-< tau families by removing a small set from each member of the family. This theorem in turn is used to show the consistency of "every first countable T-1-space with a weakly uniform base has a point-countable base."

引用

页码：4971 / 4987

页数：17