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/