Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: Family 241. Rigidity of the Turing degrees
Family claims › Mathematical logic · lines 1612–1617
OpenAI@2026-10-07#rem:oai-241
Every order automorphism of the Turing degrees is the identity, resolving their rigidity problem. Thus no nontrivial relabeling of degrees preserves the ordering by relative computability.
The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.
Nearby in this section
- remark: Remark: Family 240. Shelah's eventual categoricity conjecture
- remark: Remark: Family 242. Single-fold Diophantine representations
- remark: Remark: Family 243. Choiceless counting does not capture polynomial time
- remark: Remark: Family 244. The partition principle does not imply choice
- remark: Remark: Family 245. The β -Barendregt–Geuvers–Klop conjecture