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Degree Spectra Of Relations On A Cone 1st Edition Matthew Harrisontrainor

  • SKU: BELL-51631734
Degree Spectra Of Relations On A Cone 1st Edition Matthew Harrisontrainor
$ 31.00 $ 45.00 (-31%)

4.7

76 reviews

Degree Spectra Of Relations On A Cone 1st Edition Matthew Harrisontrainor instant download after payment.

Publisher: American Mathematical Society
File Extension: PDF
File size: 1.12 MB
Pages: 120
Author: Matthew Harrison-Trainor
ISBN: 9781470444112, 1470444119
Language: English
Year: 2018
Edition: 1

Product desciption

Degree Spectra Of Relations On A Cone 1st Edition Matthew Harrisontrainor by Matthew Harrison-trainor 9781470444112, 1470444119 instant download after payment.

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 author shows that there is a minimal non-trivial degree spectrum on a cone, consisting of the c.e. degrees.

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