IDEAL INDEPENDENT FAMILIES AND THE ULTRAFILTER NUMBER

被引：0

作者：

Cancino, Jonathan ^{[1
]}

Guzman, Osvaldo ^{[1
]}

Miller, Arnold W. ^{[2
]}

机构：

[1] Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, Mexico City, DF, Mexico

[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

JOURNAL OF SYMBOLIC LOGIC | 2021年 / 86卷 / 01期

关键词：

ideal independent families; ultrafilters; indpendent families;

D O I：

10.1017/jsl.2019.14

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We say that I is an ideal independent family if no element of I is a subset mod finite of a union of finitely many other elements of I. We will show that the minimum size of a maximal ideal independent family is consistently bigger than both partial derivative and u, this answers a question of Donald Monk.

引用

页码：128 / 136

页数：9

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