We establish two new Easton theorems for the least supercompact cardinal that are consistent with the level by level equivalence between strong compactness and supercompactness. These theorems generalize Theorem 1 in our earlier paper [Math. Logic Quart. 51 (2005)]. In both our ground model and the model witnessing the conclusions of our present theorems, there are no restrictions on the structure of the class of supercompact cardinals.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm128-1-7,
author = {Arthur W. Apter},
title = {More Easton theorems for level by level equivalence},
journal = {Colloquium Mathematicae},
volume = {126},
year = {2012},
pages = {69-86},
zbl = {1267.03051},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm128-1-7}
}
Arthur W. Apter. More Easton theorems for level by level equivalence. Colloquium Mathematicae, Tome 126 (2012) pp. 69-86. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm128-1-7/