The finite intersection principle and genericity-Reference-Cited by-同舟云学术

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The finite intersection principle and genericity

Published:2015-11-26 Issue:2 Volume:160 Page:279-297
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

DIAMONDSTONE DAVID,DOWNEY ROD,GREENBERG NOAM,TURETSKY DAN

Abstract

AbstractWe show that a Δ02 Turing degree computes solutions to all computable instances of the finite intersection principle if and only if it computes a 1-generic degree. We also investigate finite and infinite variants of the principle.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. A characterization of the entropies of multidimensional shifts of finite type

2. The atomic model theorem and type omitting

3. Weak comparability of well orderings and reverse mathematics

4. On the strength of the finite intersection principle

5. Countable algebra and set existence axioms11Research partially supported by NSF grants MCS-79-23743, MCS-78-02558, and MCS 8107867. Simpson's research was also supported by an Alfred P. Sloan Research Fellowship.

Cited by 1 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. Any FIP real computes a 1-generic;Transactions of the American Mathematical Society;2017-04-24

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