Some remarks on changing cofinalities
- 12 March 1974
- journal article
- Published by Cambridge University Press (CUP) in The Journal of Symbolic Logic
- Vol. 39 (1) , 27-30
- https://doi.org/10.2307/2272339
Abstract
In [2], Prikry showed that if κ is a weakly inaccessible cardinal which carries a Rowbottom filter, then there is a Boolean extension of V (the universe), having the same cardinals as V, in which cf(κ) = ω. In this note, we obtain necessary and sufficient conditions which a filter D on κ must possess in order that this may be done.Keywords
This publication has 2 references indexed in Scilit:
- Gerald E. Sacks. Forcing with perfect closed sets. Axiomatic set theory, Proceedings of symposia in pure mathematics, vol. 13 part 1, American Mathematical Society, Providence, Rhode Island, 1971, pp. 331–355.The Journal of Symbolic Logic, 1974
- Some weak versions of large cardinal axiomsAnnals of Mathematical Logic, 1973