关于谢尔宾斯基确定的 CH 的两个后果

IF 0.4 4区数学 Q4 LOGIC

Archive for Mathematical Logic Pub Date : 2024-05-07 DOI:10.1007/s00153-024-00925-6

R. Pol, P. Zakrzewski

引用次数: 0

摘要

我们研究瓦茨瓦夫-西尔潘斯基发现的连续假说的两个后果之间的关系，这两个后果涉及连续函数的均匀连续性和实值函数序列的均匀收敛性，它们定义在心率连续的实线子集上。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On two consequences of CH established by Sierpiński

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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来源期刊

Archive for Mathematical Logic 数学-数学

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期刊介绍： The journal publishes research papers and occasionally surveys or expositions on mathematical logic. Contributions are also welcomed from other related areas, such as theoretical computer science or philosophy, as long as the methods of mathematical logic play a significant role. The journal therefore addresses logicians and mathematicians, computer scientists, and philosophers who are interested in the applications of mathematical logic in their own field, as well as its interactions with other areas of research.