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Some new natural α-re-degrees
Published online by Cambridge University Press: 12 March 2014
Abstract
If α is a singular cardinal (either real or fake) in L, I exhibit many natural α-re subsets, defined uniformly from the ⊿1 subsets of a. If α. is a true cardinal this provides an uppersemilattice (usl) embedding from the lattice of ⊿1 subsets of α into the usl of α-re-degrees. It will also be shown that this embedding cannot be extended to the Σ1 subsets of α.
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- Copyright © Association for Symbolic Logic 1987