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The inverse of a regressive object

Published online by Cambridge University Press:  12 March 2014

W.F. Gross
W.F. Gross*
Affiliation:
5 Liverpool St., Macquarie, A.C.T. 2614, Australia
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Abstract

If C1, …, Ck are members of a certain class of suitable categories (which contains those arising from models with dimension), C = C1 × … × Ck, C′ is a suitable category, F: C → C′ is a partial recursive combinatorial functor satisfying a certain property (which, if C = C1, is that F is nonconstant) and ∈ C, then (1) if F is regressive so is as is each i, and (2) if F is Dedekind then each i is Dedekind.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 48 , Issue 3 , September 1983 , pp. 804 - 815
Copyright
Copyright © Association for Symbolic Logic 1983

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References

REFERENCE

[1]Crossley, J.N. and Nerode, A., Combinatorial functors, Springer-Verlag, Berlin, 1974.CrossRefGoogle Scholar