On two consequences of CH established by Sierpiński

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Archive for Mathematical Logic:1-15 (forthcoming)
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Abstract

We study the relations between two consequences of the Continuum Hypothesis discovered by Wacław Sierpiński, concerning uniform continuity of continuous functions and uniform convergence of sequences of real-valued functions, defined on subsets of the real line of cardinality continuum.

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10.1007/s00153-024-00925-6

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