English

Forking and invariant types in regular ordered Abelian groups

Logic 2025-12-03 v2

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.

Keywords

Cite

@article{arxiv.2312.12279,
  title  = {Forking and invariant types in regular ordered Abelian groups},
  author = {Akash Hossain},
  journal= {arXiv preprint arXiv:2312.12279},
  year   = {2025}
}

Comments

83 pages, 20 figures, comments welcome

R2 v1 2026-06-28T13:56:18.623Z