Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1035

Preprint Number 1035

Previous Next Preprint server

1035. Anand Pillay, Rizos Sklinos
The free group has the dimensional order property

Submission date: 24 April 2016


We prove that the common theory of nonabelian free groups has the dimensional order property, or DOP, implying, for example, that there is no reasonable structure theorem for ℵ_1-saturated models of this theory.

Mathematics Subject Classification:

Keywords and phrases:

Full text arXiv 1604.07034: pdf, ps.

Last updated: April 28 2016 13:36 Please send your corrections to: