Blowing up the power of a singular cardinal

Details Blowing up the power of a singular cardinal Blowing up the power of a singular cardinal

1994-04-10

arxiv.org/abs/math/9404204v1

Mathematics

Logic

Scientific paper

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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