On Computable Self-Embeddings of Computable Linear Orderings

Journal of Symbolic Logic 74 (4):1352 - 1366 (2009)

Abstract
We solve a longstanding question of Rosenstein, and make progress toward solving a longstanding open problem in the area of computable linear orderings by showing that every computable ƞ-like linear ordering without an infinite strongly ƞ-like interval has a computable copy without nontrivial computable self-embedding. The precise characterization of those computable linear orderings which have computable copies without nontrivial computable self-embedding remains open
Keywords computable linear ordering   self-embedding
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DOI 10.2178/jsl/1254748695
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Every Recursive Boolean Algebra is Isomorphic to One with Incomplete Atoms.Rod Downey - 1993 - Annals of Pure and Applied Logic 60 (3):193-206.
On Choice Sets and Strongly Non-Trivial Self-Embeddings of Recursive Linear Orders.Rodney G. Downey & Michael F. Moses - 1989 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 35 (3):237-246.

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