AbstractIn this paper we develop group extension theory over an o-minimal structure N and use it to describe N-definable solvable groups. We prove an o-minimal analogue of the Lie–Kolchin–Mal'cev theorem and we describe N-definable G-modules and N-definable rings
We consider definably compact groups in an o-minimal expansion of a real closed field. It is known t...
We consider definably compact groups in an o-minimal expansion of a real closed field. It is known t...
We consider definably compact groups in an o-minimal expansion of a real closed field. It is known t...
In this paper we develop group extension theory over an o-minimal structure N and use it to describe...
In this paper we develop group extension theory over an o-minimal structure N and use it to describe...
AbstractIn this paper we develop group extension theory over an o-minimal structure N and use it to ...
Abstract. In this series of lectures, we will a) introduce the basics of o-minimality, b) describe t...
AbstractWe study subgroups G of GL(n,R) definable in o-minimal expansions M=(R,+,·,…) of a real clos...
We study the model theory of “covers” of groups H definable in an o-minimal structure M. We pose the...
We establish the first global results for groups definable in tame expansions of o-minimal structure...
In this paper we develop the theory of locally definable groups in o-minimal structures generalizing...
AbstractWe give a characterization of one-dimensional, definably connected groups definable in any o...
AbstractThe structure M = (M, <, R1, R2,…) is o-minimal if every definable set X ⊂ M is a finite uni...
We prove that groups definable in o-minimal structures have Cartan subgroups, and only finitely many...
AbstractLet T be a complete o-minimal theory. Roughly said, T has the CF property if every definable...
We consider definably compact groups in an o-minimal expansion of a real closed field. It is known t...
We consider definably compact groups in an o-minimal expansion of a real closed field. It is known t...
We consider definably compact groups in an o-minimal expansion of a real closed field. It is known t...
In this paper we develop group extension theory over an o-minimal structure N and use it to describe...
In this paper we develop group extension theory over an o-minimal structure N and use it to describe...
AbstractIn this paper we develop group extension theory over an o-minimal structure N and use it to ...
Abstract. In this series of lectures, we will a) introduce the basics of o-minimality, b) describe t...
AbstractWe study subgroups G of GL(n,R) definable in o-minimal expansions M=(R,+,·,…) of a real clos...
We study the model theory of “covers” of groups H definable in an o-minimal structure M. We pose the...
We establish the first global results for groups definable in tame expansions of o-minimal structure...
In this paper we develop the theory of locally definable groups in o-minimal structures generalizing...
AbstractWe give a characterization of one-dimensional, definably connected groups definable in any o...
AbstractThe structure M = (M, <, R1, R2,…) is o-minimal if every definable set X ⊂ M is a finite uni...
We prove that groups definable in o-minimal structures have Cartan subgroups, and only finitely many...
AbstractLet T be a complete o-minimal theory. Roughly said, T has the CF property if every definable...
We consider definably compact groups in an o-minimal expansion of a real closed field. It is known t...
We consider definably compact groups in an o-minimal expansion of a real closed field. It is known t...
We consider definably compact groups in an o-minimal expansion of a real closed field. It is known t...
DOI
Add to ORKG