Universal Indestructibility
Logic
2007-05-23 v1
Abstract
From a suitable large cardinal hypothesis, we provide a model with a supercompact cardinal in which universal indestructibility holds: every supercompact and partially supercompact cardinal kappa is fully indestructible by kappa-directed closed forcing. Such a state of affairs is impossible with two supercompact cardinals or even with a cardinal which is supercompact beyond a measurable cardinal.
Keywords
Cite
@article{arxiv.math/9808004,
title = {Universal Indestructibility},
author = {Arthur W. Apter and Joel David Hamkins},
journal= {arXiv preprint arXiv:math/9808004},
year = {2007}
}
Comments
Plain tex, 13 pages. Submitted to the Kobe Journal of Mathematics. See also http://www.library.csi.cuny.edu/users/hamkins/papers.html#Universal