On two consequences of CH established by Sierpi\'nski
Logic
2023-11-06 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2306.11712,
title = {On two consequences of CH established by Sierpi\'nski},
author = {Roman Pol and Piotr Zakrzewski},
journal= {arXiv preprint arXiv:2306.11712},
year = {2023}
}