Topology of definable abelian groups in o-minimal structures

被引：3

作者：

Baro, Elias ^{[1
]}

Berarducci, Alessandro ^{[2
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, Dept Algebra, E-28040 Madrid, Spain

[2] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2012年 / 44卷

关键词：

HOMOTOPY;

D O I：

10.1112/blms/bdr108

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we prove that every definably connected, definably compact abelian definable group G in an o-minimal expansion of a real closed field with dim(G)not equal 4 is definably homeomorphic to a torus of the same dimension. Moreover, in the semialgebraic case the result holds for all dimensions.

引用

页码：473 / 479

页数：7

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