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Baro González, Elías ; Berarducci, Alessandro ; Otero, Margarita | London Mathematical Society | 2019-10-01Let 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 we give a characterization of Cartan subgroups of G via their Lie [...]texto impreso
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 semial[...]
