Submission date: 16 February 2016

Abstract:

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.

Mathematics Subject Classification: 03C45

Keywords and phrases: unimodular, functionnally unimodular, measurable, correspondence, strongly minimal, finite rank

Full text arXiv 1602.05173: pdf, ps.