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.
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页码：99 / 109
页数：11
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