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Jump Theorems for REA Operators
Author(s) -
Lachlan Alistair H.,
Yi Xiaoding
Publication year - 1993
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19930390103
Subject(s) - mathematics , jump , hierarchy , pure mathematics , shore , discrete mathematics , algebra over a field , law , physics , political science , oceanography , geology , quantum mechanics
In [2], Jockusch and Shore have introduced a new hierarchy of sets and operators called the REA hierarchy. In this note we prove analogues of the Friedberg Jump Theorem and the Sacks Jump Theorem for many REA operators. MSC: 03D25, 03D55.