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math.LO2019
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.
math.LO2019
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}^…
math.LO2019
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…