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Minimal degrees and the jump operator

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/malq.19680140704openalex-snapshot
The Degrees of Hyperimmune Sets
inferredcites →https://doi.org/10.1002/malq.19680142105openalex-snapshot
A Dichotomy of the Recursively Enumerable Sets
inferredcites →https://doi.org/10.1112/plms/s3-16.1.537openalex-snapshot
Lower Bounds for Pairs of Recursively Enumerable Degrees
inferredcites →https://doi.org/10.1112/plms/s3-19.1.1openalex-snapshot
Initial Segments of Turing Degrees
inferredcites →https://doi.org/10.1515/9781400882229-003openalex-snapshot
Annals of Mathematics Studies
inferredcites →https://doi.org/10.2307/1969604openalex-snapshot
On Degrees of Recursive Unsolvability
inferredcites →https://doi.org/10.2307/2269688openalex-snapshot
A theorem on minimal degrees
inferredcites →https://doi.org/10.2307/2270695openalex-snapshot
A cornucopia of minimal degrees
inferredcites →https://doi.org/10.2307/2270912openalex-snapshot
The degrees of hyperhyperimmune sets
inferredcites →https://doi.org/10.2307/2271305openalex-snapshot
A theorem on hyperhypersimple sets

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1002/malq.200410027openalex-snapshot
Properly ?2 minimal degrees and 0? complementation
inferred← citeshttps://doi.org/10.1002/malq.200410044openalex-snapshot
The minimal complementation property above 0′
inferred← citeshttps://doi.org/10.1007/11494645_35openalex-snapshot
The Low Splitting Theorem in the Difference Hierarchy
inferred← citeshttps://doi.org/10.1007/11780342_33openalex-snapshot
The Jump Classes of Minimal Covers
inferred← citeshttps://doi.org/10.1007/978-3-540-73001-9_17openalex-snapshot
Thin Maximal Antichains in the Turing Degrees
inferred← citeshttps://doi.org/10.1007/bf01275466openalex-snapshot
The rhombus classes of degrees of unsolvability (I), The jump properties
inferred← citeshttps://doi.org/10.1007/bfb0086114openalex-snapshot
Enumeration reducibility, nondeterministic computations and relative computability of partial functions
inferred← citeshttps://doi.org/10.1007/bfb0090244openalex-snapshot
Trees and degrees
inferred← citeshttps://doi.org/10.1007/s00153-009-0149-zopenalex-snapshot
Continuous versus Borel reductions
inferred← citeshttps://doi.org/10.1007/s00224-017-9798-1openalex-snapshot
On the Uniform Computational Content of Computability Theory
inferred← citeshttps://doi.org/10.1016/0168-0072(85)90001-6openalex-snapshot
Upper bounds for the arithmetical degrees
inferred← citeshttps://doi.org/10.1016/0168-0072(86)90022-9openalex-snapshot
Degrees which do not bound minimal degrees
inferred← citeshttps://doi.org/10.1016/0168-0072(88)90034-6openalex-snapshot
A non-inversion theorem for the jump operator
inferred← citeshttps://doi.org/10.1016/b978-0-444-51624-4.50010-1openalex-snapshot
Degrees of Unsolvability
inferred← citeshttps://doi.org/10.1016/j.apal.2003.07.001openalex-snapshot
Completing pseudojump operators
inferred← citeshttps://doi.org/10.1016/j.apal.2003.10.002openalex-snapshot
Complementing cappable degrees in the difference hierarchy
inferred← citeshttps://doi.org/10.1016/j.apal.2005.06.012openalex-snapshot
1-Generic splittings of computably enumerable degrees
inferred← citeshttps://doi.org/10.1016/j.apal.2011.06.008openalex-snapshot
Tracing and domination in the Turing degrees
inferred← citeshttps://doi.org/10.1016/j.apal.2013.10.005openalex-snapshot
2-Minimality, jump classes and a note on natural definability
inferred← citeshttps://doi.org/10.1016/j.apal.2016.11.011openalex-snapshot
Dominating the Erdős–Moser theorem in reverse mathematics
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)70025-9openalex-snapshot
Bibliography
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)71117-0openalex-snapshot
Degrees of Unsolvability: A Survey of Results
inferred← citeshttps://doi.org/10.1016/s0049-237x(99)80020-2openalex-snapshot
Local Degree Theory* *Preparation of this paper partially supported by E.P.S.R.C. research grants nos. GR/H91213 and GR/H02165, and by EC Human Capital and Mobility network ‘Complexity, Logic and Recursion Theory’.
inferred← citeshttps://doi.org/10.1017/bsl.2016.17openalex-snapshot
IN MEMORIAM: BARRY COOPER 1943–2015
inferred← citeshttps://doi.org/10.1017/cbo9780511605321.011openalex-snapshot
Strong minimal covers and a question of Yates: The story so far
inferred← citeshttps://doi.org/10.1017/cbo9781107338579.005openalex-snapshot
Computability theory, algorithmic randomness and Turing's anticipation
inferred← citeshttps://doi.org/10.1017/cbo9781139519694.014openalex-snapshot
Trees and degrees
inferred← citeshttps://doi.org/10.1017/jsl.2018.68openalex-snapshot
A WEAKLY 2-GENERIC WHICH BOUNDS A MINIMAL DEGREE
inferred← citeshttps://doi.org/10.1090/memo/1284openalex-snapshot
Minimal Weak Truth Table Degrees and Computably Enumerable Turing Degrees
inferred← citeshttps://doi.org/10.1090/s0002-9939-10-10299-8openalex-snapshot
Joining up to the generalized high degrees
inferred← citeshttps://doi.org/10.1090/s0002-9939-1973-0311467-5openalex-snapshot
A minimal partial degree ≤𝑂^{’}
inferred← citeshttps://doi.org/10.1090/s0002-9939-2014-11868-5openalex-snapshot
Cofinal maximal chains in the Turing degrees
inferred← citeshttps://doi.org/10.1090/s0002-9947-07-04331-0openalex-snapshot
A single minimal complement for the c.e. degrees
inferred← citeshttps://doi.org/10.1090/s0002-9947-09-04783-7openalex-snapshot
A Π¹₁-uniformization principle for reals
inferred← citeshttps://doi.org/10.1090/s0002-9947-1975-0392534-3openalex-snapshot
Minimal Covers and Hyperdegrees
inferred← citeshttps://doi.org/10.1090/s0002-9947-1979-0539912-0openalex-snapshot
Generic sets and minimal 𝛼-degrees
inferred← citeshttps://doi.org/10.1112/jlms/s2-24.1.1openalex-snapshot
The Theory of the Degrees below 0 ′
inferred← citeshttps://doi.org/10.1112/jlms/s2-5.3.445openalex-snapshot
Minimal Upper Bounds for Sequences of Recursively Enumerable Degrees
inferred← citeshttps://doi.org/10.1215/00294527-1306181openalex-snapshot
Van Lambalgen's Theorem and High Degrees
inferred← citeshttps://doi.org/10.1215/00294527-2009-020openalex-snapshot
Superhighness
inferred← citeshttps://doi.org/10.1215/00294527-2010-028openalex-snapshot
A Hyperimmune Minimal Degree and an ANR 2-Minimal Degree
inferred← citeshttps://doi.org/10.2178/bsl/1154698739openalex-snapshot
Degree Structures: Local and Global Investigations
inferred← citeshttps://doi.org/10.2178/jsl/1102022208openalex-snapshot
Minimal complements for degrees below 0′
inferred← citeshttps://doi.org/10.2178/jsl/1102022219openalex-snapshot
Generalized high degrees have the complementation property
inferred← citeshttps://doi.org/10.2178/jsl/1305810761openalex-snapshot
Jump inversions inside effectively closed sets and applications to randomness
inferred← citeshttps://doi.org/10.2307/1971028openalex-snapshot
First-Order Theory of the Degrees of Recursive Unsolvability
inferred← citeshttps://doi.org/10.2307/2272899openalex-snapshot
A minimal degree not realizing least possible jump
inferred← citeshttps://doi.org/10.2307/2273144openalex-snapshot
Double jumps of minimal degrees over cardinals
inferred← citeshttps://doi.org/10.2307/2273220openalex-snapshot
The upper semilattice of degrees ≤ 0′ is complemented
inferred← citeshttps://doi.org/10.2307/2273221openalex-snapshot
Degrees joining to 0′
inferred← citeshttps://doi.org/10.2307/2273510openalex-snapshot
Double jumps of minimal degrees
inferred← citeshttps://doi.org/10.2307/2275099openalex-snapshot
Working below a high recursively enumerable degree
inferred← citeshttps://doi.org/10.2307/2275754openalex-snapshot
Degree theoretic definitions of the low2 recursively enumerable sets
inferred← citeshttps://doi.org/10.3233/com-180092openalex-snapshot
S. Barry Cooper (1943–2015)
inferred← citeshttps://doi.org/10.4153/cjm-1977-105-5openalex-snapshot
Simple Proofs of Some Theorems on High Degrees of Unsolvability
inferred← citeshttps://doi.org/10.5539/jmr.v9n4p69openalex-snapshot
Cone Avoidance of Some Turing Degrees
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