We propose some new set-theoretic axioms which imply the generalized continuum hypothesis, and we discuss some of their consequences.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm176-3-1,
author = {Jan Mycielski},
title = {Axioms which imply GCH},
journal = {Fundamenta Mathematicae},
volume = {177},
year = {2003},
pages = {193-207},
zbl = {1020.03046},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm176-3-1}
}
Jan Mycielski. Axioms which imply GCH. Fundamenta Mathematicae, Tome 177 (2003) pp. 193-207. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm176-3-1/