On definable Skolem functions and trichotomy

IF 0.6 2区数学 Q2 LOGIC

Annals of Pure and Applied Logic Pub Date : 2025-07-04 DOI:10.1016/j.apal.2025.103632

Bruno Dinis , Mário J. Edmundo

引用次数: 0

Abstract

In this paper we give an explicit characterization of o-minimal structures with definable Skolem functions/definable choice. Such structures are, after naming finitely many elements from the prime model, a union of finitely many trivial points each defined over ∅ and finitely many open intervals each a union of a ∅-definable family of group-intervals with fixed positive elements.

查看原文本刊更多论文

关于可定义Skolem函数和三分法

本文给出了具有可定义Skolem函数/可定义选择的0 -极小结构的显式刻划。在从素数模型命名有限多元素之后，这样的结构是有限多平凡点的联合，每个平凡点定义在∅上，有限多开放区间每个开放区间是∅可定义的群区间族的联合，这些群区间具有固定的正元素。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Annals of Pure and Applied Logic 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

200 days

期刊介绍： The journal Annals of Pure and Applied Logic publishes high quality papers in all areas of mathematical logic as well as applications of logic in mathematics, in theoretical computer science and in other related disciplines. All submissions to the journal should be mathematically correct, well written (preferably in English)and contain relevant new results that are of significant interest to a substantial number of logicians. The journal also considers submissions that are somewhat too long to be published by other journals while being too short to form a separate memoir provided that they are of particular outstanding quality and broad interest. In addition, Annals of Pure and Applied Logic occasionally publishes special issues of selected papers from well-chosen conferences in pure and applied logic.