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/