Abstract. We're going to see a set sized version of the first Gitik model (see [Gi80]) and modify that to get for any alpha, a model V(G) in which the first measurable is אα+1 and every uncountable cardinal below that measurable is singular. This is joint work with Arthur Apter.
[Gi80] Moti Gitik, All uncountable cardinals can be singular, Israel Journal of Mathematics 35, p 61-88 (1980).
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