Baro González, Elías and Berarducci, Alessandro (2011) Topology of definable abelian groups in o-minimal structures. Bulletin of the London Mathematical Society . pp. 1-7. ISSN 1469-2120
![[img]](/style/images/fileicons/application_pdf.png)
| PDF 231Kb |
Official URL: http://blms.oxfordjournals.org/content/current
Abstract
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)≠4 is definably homeomorphic to a torus of the same dimension. Moreover, in the semialgebraic case the result holds for all dimensions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | o-Minimality, Definable Groups |
| Subjects: | Sciences > Mathematics > Logic, Symbolic and mathematical |
| ID Code: | 14565 |
| Deposited On: | 15 Feb 2012 12:32 |
| Last Modified: | 15 Feb 2012 12:32 |
Repository Staff Only: item control page
