A $\Delta^0_2$ Theory of Regressive Isols
Ellentuck, Erik
J. Symbolic Logic, Tome 39 (1974) no. 1, p. 459-468 / Harvested from Project Euclid
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We examine the action of unary $\Delta^0_2$ functions on the regressive isols. A manageable theory is produced and we find that such a function maps $\Lambda_R$ into $\Lambda$ if and only if it is eventually $R\uparrow$ increasing and maps $\Lambda_R$ into $\Lambda_R$ if and only if it is eventually recursive increasing. Our paper concludes with a discussion of other methods for extending functions to $\Lambda_R$.
Publié le : 1974-09-14
Classification:  
@article{1183739180,
     author = {Ellentuck, Erik},
     title = {A $\Delta^0\_2$ Theory of Regressive Isols},
     journal = {J. Symbolic Logic},
     volume = {39},
     number = {1},
     year = {1974},
     pages = { 459-468},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183739180}
}

Ellentuck, Erik. A $\Delta^0_2$ Theory of Regressive Isols. J. Symbolic Logic, Tome 39 (1974) no. 1, pp.  459-468. http://gdmltest.u-ga.fr/item/1183739180/