Remarks on relative categoricity
Logic
2026-05-13 v2
Abstract
The paper is partly a survey with historical background and references, partly provides the opportunity to put in print some unpublished early work, and partly has new results. A special case of relative categoricity is identified (almost internal covers) for which the Gaifman conjecture is proved, full omega-stability over P is introduced, and as counterexample is given to full stability over P.
Cite
@article{arxiv.2602.05866,
title = {Remarks on relative categoricity},
author = {Anand Pillay},
journal= {arXiv preprint arXiv:2602.05866},
year = {2026}
}
Comments
21 pages