KEISLER'S ORDER IS NOT LINEAR, ASSUMING A SUPERCOMPACT

被引：4

作者：

Ulrich, Douglas ^{[1
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

JOURNAL OF SYMBOLIC LOGIC | 2018年 / 83卷 / 02期

基金：

美国国家科学基金会;

关键词：

uncountable model theory; Keisler's order; ultraproducts; ULTRAFILTERS;

D O I：

10.1017/jsl.2018.1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if there is a supercompact cardinal, then Keisler's order is not linear. More specifically, let T-n,T-k be the theory of the generic n-clique free k-ary graph for any n > k >= 3, and let T-Cas be the simple nonlow theory described by Casanovas in [2]. Then we show that T-Cas (sic) T-n,T-k always, and if there is a supercompact cardinal then T-n,T-k (sic) T-Cas.

引用

页码：634 / 641

页数：8

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