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Hereditarily universal sets

Published online by Cambridge University Press:  09 April 2009

Erik Ellentuck
Erik Ellentuck
Affiliation:
Rutgers, The State UniversityNew Brunswick, New Jersey, U.S.A.
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Abstract

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An immune set is found such that the recursive equivalence type of its infinite subsets are universal in a very strong sense.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 19 , Issue 3 , May 1975 , pp. 292 - 296
Copyright
Copyright © Australian Mathematical Society 1975

References

Galvin, F. and Prikry, K. (1973), ‘Borel sets and Ramsey's theorem’, J. Symbolic Logic 38, 193–198.Google Scholar
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McLaughlin, T. (1967), ‘Hereditarily regtaceable isols’, Bull. Amer. Math. Soc. 73, 113–115.CrossRefGoogle Scholar
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Rogers, H. Jr. (1967), Theory of Recursive Finctions and Effective Computability, (McGraw-Hill, New York, 1967).Google Scholar