Blowing up the power of a singular cardinal
Logic
2016-09-06 v1
Abstract
Suppose that kappa is a singular cardinal of cofinality omega and GCH holds. Assume that for every n<omega the set of alphas with o(alpha)>= alpha^{+n} is unbounded in kappa.Then there is a cardinal preserving extension satisfying 2^kappa=kappa^++ and GCH below kappa. By a result of W. Mitchell and the author the assumptions are optimal.
Keywords
Cite
@article{arxiv.math/9404204,
title = {Blowing up the power of a singular cardinal},
author = {Moti Gitik},
journal= {arXiv preprint arXiv:math/9404204},
year = {2016}
}