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TOPOLOGICAL FRAMEWORK FOR FINITE INJURY
Author(s) -
Kontostathis Kyriakos
Publication year - 1992
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.19920380114
Subject(s) - mathematics , baire category theorem , recursively enumerable language , brouwer fixed point theorem , degree (music) , compactness theorem , pure mathematics , danskin's theorem , green's theorem , discrete mathematics , fixed point theorem , physics , acoustics
We formulate an abstract version of the finite injury method in the form of the Baire category theorem. The theorem has the following corollaries: The Friedberg‐Muchnik pair of recursively enumerable degrees, the Sacks splitting theorem, the existence of a minimal degree below 0′ and the Shoenfield jump theorem.