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- Université Paris CitéFR55 papers
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7 papers · 1 filter
Five Conferences on Undecidability
Nicolas Bouleau, Jean-Yves Girard, Alain Louveau
These five lectures on undecidability were given to students with a good level in mathematics but with no special knowledge on logic. The first conference presents the formalizatio…
Difference fields and descent in algebraic dynamics - I
Zoé Chatzidakis, Ehud Hrushovski
We draw a connection between the model-theoretic notions of modularity (or one-basedness), orthogonality and internality, as applied to difference fields, and questions of descent…
Hurewicz-like tests for Borel subsets of the plane
Dominique Lecomte
Let xi be a non-null countable ordinal. We study the Borel subsets of the plane that can be made $\bormxi$ by refining the Polish topology on the real line. These sets are called p…
Omega-powers and descriptive set theory
Dominique Lecomte
We study the sets of the infinite sentences constructible with a dictionary over a finite alphabet, from the viewpoint of descriptive set theory. Among other things, this gives som…
Complexité des boréliens à coupes dénombrables
Dominique Lecomte
We give, for each level of complexity L, a Hurewicz-like characterization of the Borel subsets with countable sections of a product of two Polish spaces that cannot become in L by…
Classes de Wadge potentielles des boréliens à coupes dénombrables
Dominique Lecomte
We give, for each non self-dual Wadge class C contained in the class of the Gdelta sets, a characterization of Borel sets which are not potentially in C, among Borel sets with coun…