Countable ordinals in indiscernibility spectra

被引：0

作者：

Aguilera, J. P. ^{[1
,2
]}

机构：

[1] Univ Ghent, Dept Math, Krijgslaan 281-S8, B-9000 Ghent, Belgium

[2] Vienna Univ Technol, Inst Discrete Math & Geometry, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

来源：

FUNDAMENTA MATHEMATICAE | 2023年 / 260卷 / 02期

关键词：

indiscernibility spectrum; order-indiscernible; uniform indiscernible; nonstationary ideal;

D O I：

10.4064/fm964-6-2022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a set A of reals, the indiscernibility spectrum of A is the set of countable ordinals which are simultaneously indiscernible in L[a] for every a(#) is an element of A. Under large-cardinal assumptions, we construct sets of sharps with countable spectrum, and with spectra of every finite cardinality.

引用

页码：99 / 109

页数：11

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