Seconde solution de la question 453
Utilisation du logiciel GENSTAT au D.E.A. de statistique de l'université Paris-Sud
Elementary equivalence of lattices of open sets definable in o-minimal expansions of real closed fields
We prove that the boolean algebras of sets definable in elementarily equivalent o-minimal expansions of real closed fields are back-and-forth equivalent, and in particular elementarily equivalent, in the language of boolean algebras with new predicates indicating the dimension, Euler characteristic and open sets. We also show that the boolean algebra of semilinear subsets of [0,1]ⁿ definable in an o-minimal expansion of a real closed field is back-and-forth equivalent to the boolean algebra of definable...
Solution des questions 455 et 456
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