The Exponential-Logarithmic Equivalence Classes of Surreal Numbers

被引：0
|
作者：
Salma Kuhlmann
Mickaël Matusinski
机构：
[1] Universität Konstanz,Fachbereich Mathematik und Statistik
[2] Université Bordeaux 1,Institut de Mathématiques de Bordeaux
来源：
Order | 2015年 / 32卷
关键词：
Surreal numbers; Real exponential logarithmic field; Primary 12J15; 03H05; Secondary 03E10; 06A05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In his monograph, H. Gonshor showed that Conway’s real closed field of surreal numbers carries an exponential and logarithmic map. In this paper, we give a complete description of the exponential equivalence classes in the spirit of the additive and multiplicative equivalence classes. This description is made in terms of a recursive formula as well as a sign sequence formula for the family of representatives of minimal length of these exponential classes.
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页码：53 / 68
页数：15
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