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<p>We continue a study of 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.</p>

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On two consequences of CH established by Sierpiński. II

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月21日

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  • R. Pol,
  • P. Zakrzewski

摘要

We continue a study of 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.