Unimodularity unified

L'unimodularité unifiée

Darío García (1) , Frank Olaf Wagner (1)

1 AGL - Algèbre, géométrie, logique

Unimodularity is localized to a complete stationary type, and its properties are analysed. Some variants of unimodularity for definable and type-definable sets are introduced, and the relationship between these different notions is studied. In particular , it is shown that all notions coincide for non-multidimensional theories where the dimensions are associated to strongly minimal types.

Mots clés: unimodular; functionnally unimodular; measurable; correspondence; strongly minimal; finite rank

Domaines: Logique [math.LO]

Darío García, Frank Olaf Wagner. Unimodularity unified. The Journal of Symbolic Logic, 2017, 82 (3), pp.1051-1065. ⟨hal-01275078v3⟩