4 citations · 17 across the 12 of their papers we have counts for
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math.LO2008★ 1 cited
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,…
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.LO2008★ 4 cited
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…