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Counterexamples in the Theory of ω-functions

Published online by Cambridge University Press:  20 November 2018

C. H. Applebaum
C. H. Applebaum*
Affiliation:
Bowling Green State University, Bowling Green, Ohio
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Let ϵ stand for the set of nonnegative integers (numbers), V for the class of all subcollections of ϵ (sets), Λ for the set of isols, and ΛR for the set of regressive isols. A function, f, is a mapping from a subset of ϵ into ϵ and δf and ρf denote the domain and range of f respectively. The relation of inclusion is denoted by ⊂ and that of proper inclusion by ⊊. The sets α and β are recursively equivalent (written α ≃ β), if δf = α and ρf = β for some function f with a one-to-one partial recursive extension.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 4 , August 1974 , pp. 800 - 805
Copyright
Copyright © Canadian Mathematical Society 1974

References

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