The paper is concerned with the computation of covering numbers in the presence of large cardinals. In particular, we revisit Solovay's result that the Singular Cardinal Hypothesis holds above a strongly compact cardinal.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm205-1-3, author = {Pierre Matet}, title = {Large cardinals and covering numbers}, journal = {Fundamenta Mathematicae}, volume = {205}, year = {2009}, pages = {45-75}, zbl = {1191.03032}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm205-1-3} }
Pierre Matet. Large cardinals and covering numbers. Fundamenta Mathematicae, Tome 205 (2009) pp. 45-75. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm205-1-3/