arXiv:2306.11712 Abstract | arXiv Analytics

arXiv:2306.11712 [math.LO]Abstract References Reviews Resources

On two consequences of CH established by Sierpiński

Published 2023-06-20Version 1

We study the relations between two consequences of the Continuum Hypothesis discovered by Wac{\l}aw Sierpi\'nski, 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.

Categories: math.LO

Subjects: 03E20, 03E15, 26A15, 54C05

Keywords: consequences, sierpiński, real line, uniform convergence, continuum hypothesis

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