Assuming large cardinals, we show that every κ-complete filter can be generically extended to a V-ultrafilter with well-founded ultrapower. We then apply this to answer a question of Abe.
@article{bwmeta1.element.bwnjournal-article-fmv163i1p95bwm, author = {Douglas Burke}, title = {A note on a question of Abe}, journal = {Fundamenta Mathematicae}, volume = {163}, year = {2000}, pages = {95-98}, zbl = {0945.03068}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv163i1p95bwm} }
Burke, Douglas. A note on a question of Abe. Fundamenta Mathematicae, Tome 163 (2000) pp. 95-98. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv163i1p95bwm/
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