Proof of a conjecture of Friedman-Reference-Cited by-同舟云学术

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Proof of a conjecture of Friedman

Published:1976 Issue:1 Volume:55 Page:129
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Martin Donald A.

Abstract

We prove that every uncountable hyperarithmetic set has a member of each hyperdegree ⩾ 0 \geqslant {\mathbf {0}} , the hyperdegree of Kleene’s 0 0 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-055-01/S0002-9939-1976-0406785-9/S0002-9939-1976-0406785-9.pdf

Reference2 articles.

1. Borel sets and hyperdegrees;Friedman, Harvey M.;J. Symbolic Logic,1973

2. Encodability of Kleene’s 𝑂;Jockusch, Carl G., Jr.;J. Symbolic Logic,1973

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. AN APPLICATION OF RECURSION THEORY TO ANALYSIS;The Bulletin of Symbolic Logic;2020-03

2. BASIS THEOREMS FOR -SETS;The Journal of Symbolic Logic;2019-02-11

3. RANDOMNESS IN THE HIGHER SETTING;The Journal of Symbolic Logic;2015-12

4. A New Proof of Friedman's Conjecture;The Bulletin of Symbolic Logic;2011-09

5. On Vaught's conjecture;Lecture Notes in Mathematics;1978

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