The sharp for the Chang model is small
Archive for Mathematical Logic 56 (7-8):935-982 (2017)
Abstract
Woodin has shown that if there is a measurable Woodin cardinal then there is, in an appropriate sense, a sharp for the Chang model. We produce, in a weaker sense, a sharp for the Chang model using only the existence of a cardinal \ having an extender of length \.Author's Profile
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References found in this work
Indiscernible sequences for extenders, and the singular cardinal hypothesis.Moti Gitik & William J. Mitchell - 1996 - Annals of Pure and Applied Logic 82 (3):273-316.
Blowing up power of a singular cardinal—wider gaps.Moti Gitik - 2002 - Annals of Pure and Applied Logic 116 (1-3):1-38.
No bound for the first fixed point.Moti Gitik - 2005 - Journal of Mathematical Logic 5 (02):193-246.
