Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 240-02. Eventual categoricity for abstract elementary classes
Manuscript map · lines 7215–7224
OpenAI@2026-10-07#rem:oai-p-240-02
Authors: OpenAI. Family 240.
Title: Eventual categoricity for abstract elementary classes.
Abstract: We prove Shelah's eventual categoricity conjecture for abstract elementary classes in ZFC. For each infinite bound on the Löwenheim–Skolem number there is a uniform threshold such that categoricity in any one cardinal at or above that threshold implies categoricity in every cardinal at or above the same threshold.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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