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math.LO2015
On the o-minimal Hilbert's fifth problem
Mario J. Edmundo, Marcello Mamino, Luca Prelli +2
Let be an arbitrary o-minimal structure. Let be a definably compact definably connected abelian definable group of dimension . Here we compute the new the intr…
math.LO2014
On definably proper maps
Mário Edmundo, Marcello Mamino, Luca Prelli
In this paper we work in o-minimal structures with definable Skolem functions and show that a continuous definable map between Hausdorff locally definably compact definable spaces…
math.LO2013
Coverings by open cells
Mário J. Edmundo, Pantelis Eleftheriou, Luca Prelli
We prove that in a semi-bounded o-minimal expansion of an ordered group every non-empty open definable set is a finite union of open cells.