Jumping through the transfinite: The master code hierarchy of Turing degrees

Journal of Symbolic Logic 45 (2):204-220 (1980)
  Copy   BIBTEX

Abstract

Where $\underline{a}$ is a Turing degree and ξ is an ordinal $ , the result of performing ξ jumps on $\underline{a},\underline{a}^{(\xi)}$ , is defined set-theoretically, using Jensen's fine-structure results. This operation appears to be the natural extension through $(\aleph_1)^{L^\underline{a}}$ of the ordinary jump operations. We describe this operation in more degree-theoretic terms, examine how much of it could be defined in degree-theoretic terms and compare it to the single jump operation

Author's Profile

Harold Hodes
Cornell University

Analytics

Added to PP
2009-01-28

Downloads
101 (#58,152)

6 months
50 (#26,017)

Historical graph of downloads since first upload
This graph includes both downloads from PhilArchive and clicks on external links on PhilPapers.
How can I increase my downloads?