On measurable cardinals violating the continuum hypothesis

Annals of Pure and Applied Logic 63 (3):227-240 (1993)
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Abstract

Gitik, M., On measurable cardinals violating the continuum hypothesis, Annals of Pure and Applied Logic 63 227-240. It is shown that an extender used uncountably many times in an iteration is reconstructible. This together with the Weak Covering Lemma is used to show that the assumption o=κ+α is necessary for a measurable κ with 2κ=κ+α

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10.1016/0168-0072(93)90149-8

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Citations of this work

Tall cardinals.Joel D. Hamkins - 2009 - Mathematical Logic Quarterly 55 (1):68-86.
Extender based forcings.Moti Gitik & Menachem Magidor - 1994 - Journal of Symbolic Logic 59 (2):445-460.
Easton's theorem for Ramsey and strongly Ramsey cardinals.Brent Cody & Victoria Gitman - 2015 - Annals of Pure and Applied Logic 166 (9):934-952.
Global singularization and the failure of SCH.Radek Honzik - 2010 - Annals of Pure and Applied Logic 161 (7):895-915.

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References found in this work

The negation of the singular cardinal hypothesis from o(K)=K++.Moti Gitik - 1989 - Annals of Pure and Applied Logic 43 (3):209-234.
Extender based forcings.Moti Gitik & Menachem Magidor - 1994 - Journal of Symbolic Logic 59 (2):445-460.
Between strong and superstrong.Stewart Baldwin - 1986 - Journal of Symbolic Logic 51 (3):547-559.
On the Mitchell and Rudin-Kiesler orderings of ultrafilters.Moti Gitik - 1988 - Annals of Pure and Applied Logic 39 (2):175-197.

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