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arXiv · 2602.05866

Remarks on relative categoricity

Anand Pillay
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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is partly a survey with historical background and references, partly provides the opportunity to put in print some unpublished early work, and partly has new results.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.

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Anand Pillay. 2026-02-05. Remarks on relative categoricity. https://arxiv.org/abs/2602.05866

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