Forcing and stable ordered-union ultrafilters
Eisworth, Todd
J. Symbolic Logic, Tome 67 (2002) no. 1, p. 449-464 / Harvested from Project Euclid
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We investigate the effect of a variant of Matet forcing on ultrafilters in the ground model and give a characterization of those $P$–points that survive such forcing, answering a question left open by Blass. We investigate the question of when this variant of Matet forcing can be used to diagonalize small filters without destroying $P$–points in the ground model. We also deal with the question of generic existence of stable ordered–union ultrafilters.
Publié le : 2002-03-14
Classification:  03E05,  03E17,  03E35 
@article{1190150054,
     author = {Eisworth, Todd},
     title = {Forcing and stable ordered-union ultrafilters},
     journal = {J. Symbolic Logic},
     volume = {67},
     number = {1},
     year = {2002},
     pages = { 449-464},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1190150054}
}

Eisworth, Todd. Forcing and stable ordered-union ultrafilters. J. Symbolic Logic, Tome 67 (2002) no. 1, pp.  449-464. http://gdmltest.u-ga.fr/item/1190150054/