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On categories of o-minimal structures
Rodrigo Figueiredo, Hugo Luiz Mariano
Our aim in this paper is to look at some transfer results in model theory (mainly in the context of o-minimal structures) from the category theory viewpoint.
On Whitney embedding of o-minimal manifolds
Ricardo Bianconi, Rodrigo Figueiredo, Robson A. Figueiredo
We prove a definable version of the Whitney embedding theorem for abstract-definable manifolds with , namely: every abstract-definable $\mathcal{C}^…
O-minimal de Rham cohomology
Ricardo Bianconi, Rodrigo Figueiredo
O-minimal geometry generalizes both semialgebraic and subanalytic geometries, and has been very successful in solving special cases of some problems in arithmetic geometry, such as…
Remarks on expansions of the real field: tameness, Hardy fields and smooth rings
Rodrigo Figueiredo, Hugo Luiz Mariano
In the talk \cite{vandendries-matthias-} presented at Logic and Foundations section of ICM-2018, Rio de Janeiro, the authors analyze, under a model-theoretic perspective, three way…