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most citedAn Easton-like theorem for Zermelo-Fraenkel Set Theory without Choice

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math.LO2018

An Easton-like Theorem for Zermelo-Fraenkel Set Theory with the Axiom of Dependent Choice

Anne Fernengel, Peter Koepke

We show that in the theory ZF + DC + for every cardinal λ, the set of infinite subsets of λ is well-ordered (i.e., Shelah's AX4), the θ-function measuring the surjective size of th…