paper

Forking and invariant types in regular ordered Abelian groups

arXiv:2312.12279 · doi:10.2140/mt.2025.4.251

Abstract

We give a characterization of forking in regular ordered Abelian groups. In particular, we prove that the type of C over AB does not fork over A if and only if the type over AB of each C-definable singleton does not fork over A in these structures.

83 pages, 20 figures, comments welcome

Forking and invariant types in regular ordered Abelian groups · wovepaper