Abstract
AbstractIn set theory without the axiom of choice , three‐space type results for the Hahn‐Banach property are provided. We deduce that for every Hausdorff compact scattered space K, the Banach space C(K) of real continuous functions on K satisfies the (multiple) continuous Hahn‐Banach property in . We also prove in Rudin's theorem: “Radon measures on Hausdorff compact scattered spaces are discrete”.
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