Some Remarks on Changing Cofinalities
Devlin, Keith J.
J. Symbolic Logic, Tome 39 (1974) no. 1, p. 27-30 / Harvested from Project Euclid
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In [2], Prikry showed that if $\kappa$ 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 $\mathrm{cf}(\kappa) = \omega$. In this note, we obtain necessary and sufficient conditions which a filter $D$ on $\kappa$ must possess in order that this may be done.
Publié le : 1974-03-14
Classification:  
@article{1183738944,
     author = {Devlin, Keith J.},
     title = {Some Remarks on Changing Cofinalities},
     journal = {J. Symbolic Logic},
     volume = {39},
     number = {1},
     year = {1974},
     pages = { 27-30},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183738944}
}

Devlin, Keith J. Some Remarks on Changing Cofinalities. J. Symbolic Logic, Tome 39 (1974) no. 1, pp.  27-30. http://gdmltest.u-ga.fr/item/1183738944/