Spectrum of the Field of Computable Real Numbers


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Abstract

Necessary and sufficient conditions for a Turing degree to be an element of the spectrum of the classical field of computable real numbers are established.

About the authors

M. V. Korovina

Institute of Informatics Systems, Siberian Branch, Russian Academy of Sciences

Author for correspondence.
Email: rita.korovina@gmail.com
Russian Federation, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090

O. V. Kudinov

Sobolev Institute of Mathematics; Novosibirsk State University

Email: rita.korovina@gmail.com
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090

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