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Isomorphisms of splits of computably enumerable sets
We show that if A and$\widehat{A}$are automorphic via Φ then the structures$S_{R}(A)$and$S_{R}(\widehat{A})$are$\Delta_{3}^{0}-isomorphic$via an isomorphism Ψ induced by Φ. Then we use this result to classify completely the orbits of hhsimple sets.
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Published in: | The Journal of symbolic logic 2003-09, Vol.68 (3), p.1044-1064 |
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container_end_page | 1064 |
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container_start_page | 1044 |
container_title | The Journal of symbolic logic |
container_volume | 68 |
creator | Cholak, Peter A. Harrington, Leo A. |
description | We show that if A and$\widehat{A}$are automorphic via Φ then the structures$S_{R}(A)$and$S_{R}(\widehat{A})$are$\Delta_{3}^{0}-isomorphic$via an isomorphism Ψ induced by Φ. Then we use this result to classify completely the orbits of hhsimple sets. |
doi_str_mv | 10.2178/jsl/1058448453 |
format | article |
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language | eng |
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subjects | 03D25 Approximation Automorphisms Boolean algebras Integers Logical proofs Logical theorems Low earth orbits Mathematical functions Mathematical logic Mathematical theorems |
title | Isomorphisms of splits of computably enumerable sets |
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