Definability of types and VC density in differential topological fields |
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Authors: | Françoise Point |
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Affiliation: | 1.Département de Mathématique,Université de Mons,Mons,Belgium |
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Abstract: | Given a model-complete theory of topological fields, we considered its generic differential expansions and under a certain hypothesis of largeness, we axiomatised the class of existentially closed ones. Here we show that a density result for definable types over definably closed subsets in such differential topological fields. Then we show two transfer results, one on the VC-density and the other one, on the combinatorial property NTP2. |
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