Dimension in the realm of transseries

被引：2

作者：

Aschenbrenner, Matthias ^{[1
]}

van den Dries, Lou ^{[2
]}

van der Hoeven, Joris ^{[3
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[3] Ecole Polytech, F-91128 Palaiseau, France

来源：

ORDERED ALGEBRAIC STRUCTURES AND RELATED TOPICS | 2017年 / 697卷

关键词：

DIFFERENTIAL-EQUATIONS; SETS;

D O I：

10.1090/conm/697/14044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T be the differential field of transseries. We establish some basic properties of the dimension of a definable subset of T-n, also in relation to its codimension in the ambient space T-n. The case of dimension 0 is of special interest, and can be characterized both in topological terms (discreteness) and in terms of the Herwig-Hrushovski-Macpherson notion of co-analyzability.

引用

页码：23 / 39

页数：17

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