Topology of definable abelian groups in o-minimal structures

Baro González, ElíasBerarducci, Alessandro2023-06-202023-06-202011-11-171469-212010.1112/blms/bdr108https://hdl.handle.net/20.500.14352/42054In 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.engTopology of definable abelian groups in o-minimal structuresjournal articlehttp://blms.oxfordjournals.org/content/currentopen access510.67o-MinimalityDefinable GroupsLógica simbólica y matemática (Matemáticas)1102.14 Lógica Simbólica