Blowing up the power of a singular cardinal

Moti Gitik

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Blowing up the power of a singular cardinal

Moti Gitik

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Abstract

Suppose that kappa is a singular cardinal of cofinality omega and GCH holds. Assume that for every n = 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.

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BibTeX RIS

Moti Gitik. 1994-04-10. Blowing up the power of a singular cardinal. https://arxiv.org/abs/math/9404204

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