A Dependent Bi-Coloured Field

Abstract

We have considered a Fraisse class of finitely generated ordered real fields with a colour predicate. A predimension map is defined on finite sets and the Fraisse limit of the class is axiomatized by a theory $T$, which is proved to be dependent. The theory is proved to be non-distal with $dp-rank={\aleph }_0$.

A completed and totally modified version of this preprint is uploaded under the different title: Bi-colored Expansions of Geometric Theories, arXiv:2204.09142