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
收藏
页码：23 / 39
页数：17
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