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Book Cover
E-book
Author Harrison-Trainor, Matthew, 1990- author.

Title Degree spectra of relations on a cone / Matthew Harrison-Trainor
Published Providence, Rhode Island : American Mathematical Society, [2018]
©2018

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Description 1 online resource (v, 107 pages) : illustrations
Series Memoirs of the American Mathematical Society, 1947-6221 ; volume 253, number 1208
Memoirs of the American Mathematical Society ; no. 1208.
Contents Introduction -- Preliminaries -- Degree spectra between the C.E. degrees and the D.C.E. degrees -- Degree spectra of relations on the naturals -- A "fullness" theorem for 2-CEA degrees -- Further questions
Summary Let \mathcal A be a mathematical structure with an additional relation R. The author is interested in the degree spectrum of R, either among computable copies of \mathcal A when (\mathcal A, R) is a ""natural"" structure, or (to make this rigorous) among copies of (\mathcal A, R) computable in a large degree d. He introduces the partial order of degree spectra on a cone and begin the study of these objects. Using a result of Harizanov--that, assuming an effectiveness condition on \mathcal A and R, if R is not intrinsically computable, then its degree spectrum contains all c.e. degrees--the autho
Notes "Volume 253, number 1208 (third of 7 numbers), May 2018."
Bibliography Includes bibliographical references (pages 105-106) and index
Notes Print version record
Subject Unsolvability (Mathematical logic)
Conic sections.
Angles (Geometry) -- Measurement.
MATHEMATICS -- Essays.
MATHEMATICS -- Pre-Calculus.
MATHEMATICS -- Reference.
Goniometría
Angles (Geometry) -- Measurement
Conic sections
Unsolvability (Mathematical logic)
Form Electronic book
Author American Mathematical Society, publisher
ISBN 9781470444112
1470444119