Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 797

Preprint Number 797

Previous Next Preprint server

797. Anand Pillay
Strongly minimal pseudofinite structures

Submission date: 18 November 2014.


We observe that the nonstandard finite cardinality of a definable set in a strongly minimal pseudofinite structure D is a polynomial over the integers in the nonstandard finite cardinality of D. We conclude that D is unimodular, hence also locally modular. We also deduce a regularity lemma for graphs definable in strongly minimal pseudofinite structures. The paper is elementary, and the only surprising thing about it is that the results were not explicitly noted before.

Mathematics Subject Classification: 03C45, 05C75

Keywords and phrases:

Full text arXiv 1411.5008: pdf, ps.

Last updated: November 25 2014 22:51 Please send your corrections to: