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An Md-class of sets indexed by a regressive function

Published online by Cambridge University Press:  09 April 2009

Joseph Barback
Joseph Barback
Affiliation:
State University of New York Buffalo, New York, U.S.A.
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This paper deals with the study of a particular md-class of sets. The underlying theory was introduced and studied by J. C. E. Dekker in [4]. We shall assume that the reader is familiar with the terminology and main results of this paper; in particular with the concepts of md-class of sets, gc-class of sets, gc-set, gc-function and the RET of a gc-class of sets. We also use the following notations of [4]: ε = the set of all non-negative integers (numbers), R = Req (ε).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 7 , Issue 3 , August 1967 , pp. 301 - 310
Copyright
Copyright © Australian Mathematical Society 1967

References

[1]Dekker, J. C. E., “Infinite Series of Isols”, Amer. Math. Soc. Proc. of Symposia in Pure Mathematics, 5 (1962), 77–96.CrossRefGoogle Scholar
[2]Dekker, J. C. E., “An Infinite Product of Isols”, Illinois J. Math., 7 (1963) 668–680.CrossRefGoogle Scholar
[3]Dekker, J. C. E., “The Minimum of Two Regressive Isols”, Math. Zeitschr., 83 (1964), 345–366.CrossRefGoogle Scholar
[4]Dekker, J. C. E., “The Recursive Equivalence Type of a Class of Sets”, Bull. Amer. Math. Soc., 70 (1964), 628–632.CrossRefGoogle Scholar
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[6]Dekker, J. C. E. and Myhill, J., “Recursive Equivalence Types”, Univ. California Publ. Math. (N.S.), 3 (1960), 67–214.Google Scholar