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math.LO2008★ 3 cited
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…
math.LO2007★ 1 cited
G-linear sets and torsion points in definably compact groups
Margarita Otero, Ya'acov Peterzil
Let G be a definably compact group in an o-minimal expansion of a real closed field. We prove that if dim(G X) < dim G for some definable X subset of G then X contains a torsion po…