4 citations · 17 across the 12 of their papers we have counts for
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Cartan subgroups and regular points of o-minimal groups
Elias Baro, Alessandro Berarducci, Margarita Otero
Let G be a group definable in an o-minimal structure M. We prove that the union of the Cartan subgroups of G is a dense subset of G. When M is an expansion of a real closed field w…
Two-dimensional simply connected abelian locally Nash groups
E. Baro, J. de Vicente, M. Otero
The aim of this paper is to give a description of simply connected abelian locally Nash groups of dimension . Along the way we prove that, for any , a locally Nash stru…
Commutators in groups definable in o-minimal structures
E. Baro, E. Jaligot, M. Otero
We prove the definability, and actually the finiteness of the commutator width, of many commutator subgroups in groups definable in o-minimal structures. It applies in particular t…
Locally definable homotopy
Elias Baro, Margarita Otero
In "On o-minimal homotopy groups", o-minimal homotopy was developed for the definable category, proving o-minimal versions of the Hurewicz theorems and the Whitehead theorem. Here,…
On o-minimal homotopy groups
Elias Baro, Margarita Otero
We work over an o-minimal expansion of a real closed field. The o-minimal homotopy groups of a definable set are defined naturally using definable continuous maps. We prove that an…
Higher homotopy of groups definable in o-minimal structures
Alessandro Berarducci, Marcello Mamino, Margarita Otero
It is known that a definably compact group G is an extension of a compact Lie group L by a divisible torsion-free normal subgroup. We show that the o-minimal higher homotopy groups…