Choice Principles and Compactness Conditions

Mathematical Logic Quarterly 44 (3):427-430 (1998)
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Abstract

It is shown in Zermelo-Fraenkel Set Theory that Cκ, the Axiom of Choice for κ-indexed families of arbitrary sets, is equivalent to the condition that the frame envelope of any κ-frame is κ-Lindelöf, for any cardinal κ

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10.1002/malq.19980440313

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