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The weak König lemma and uniform continuity

Published:2008-09 Issue:3 Volume:73 Page:933-939
ISSN:0022-4812
Container-title:Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

Berger Josef

Abstract

AbstractWe prove constructively that the weak König lemma and quantifier-free number–number choice imply that every pointwise continuous function from Cantor space into Baire space has a modulus of uniform continuity.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference5 articles.

1. Metamathematical Investigation of Intuitionistic Arithmetic and Analysis

2. Weak König's Lemma Implies Brouwer's Fan Theorem: A Direct Proof

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Coding of real‐valued continuous functions under WKL$\mathsf {WKL}$;Mathematical Logic Quarterly;2023-07-24

2. Aligning the weak König lemma, the uniform continuity theorem, and Brouwer’s fan theorem;Annals of Pure and Applied Logic;2012-08

3. Minima and best approximations in constructive analysis;Journal of Logic and Analysis;2011

4. Kronecker’s density theorem and irrational numbers in constructive reverse mathematics;Mathematische Semesterberichte;2009-09-22

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