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Set theory without choice: not everything on cofinality is possible

Saharon Shelah

math.LOarXiv:math/9512227

Abstract

We prove (ZF+DC) e.g. : if mu =|H(mu)| then mu+ is regular non measurable. This is in contrast with the results for mu = alephomega on measurability see Apter Magidor [ApMg]

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