DEFINING THE SET OF INTEGERS IN EXPANSIONS OF THE REAL FIELD BY A CLOSED DISCRETE SET

被引：23

作者：

Hieronymi, Philipp ^{[1
]}

机构：

[1] McMaster Univ, Dept Math & Stat, Hamilton, ON L8S 4K1, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 06期

关键词：

D O I：

10.1090/S0002-9939-10-10268-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let D subset of R be closed and discrete and f : D-n -> R be such that f (D-n) is somewhere dense. We show that (R, +, ., f) defines Z. As an application, we get that for every alpha, beta is an element of R->0 with log(alpha) (beta) is not an element of Q, the real field expanded by the two cyclic multiplicative subgroups generated by alpha and beta defines Z.

引用

页码：2163 / 2168

页数：6

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