The weak König lemma and uniform continuity

Journal of Symbolic Logic 73 (3):933-939 (2008)
  Copy   BIBTEX

Abstract

We 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

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Weak König's Lemma Implies Brouwer's Fan Theorem: A Direct Proof.Hajime Ishihara - 2006 - Notre Dame Journal of Formal Logic 47 (2):249-252.
Comparing DNR and WWKL.Klaus Ambos-Spies, Bjørn Kjos-Hanssen, Steffen Lempp & Theodore A. Slaman - 2004 - Journal of Symbolic Logic 69 (4):1089-1104.
A feasible theory for analysis.Fernando Ferreira - 1994 - Journal of Symbolic Logic 59 (3):1001-1011.
Uniform inseparability in explicit mathematics.Andrea Cantini & Pierluigi Minari - 1999 - Journal of Symbolic Logic 64 (1):313-326.
Generalizing König's infinity lemma.Robert H. Cowen - 1977 - Notre Dame Journal of Formal Logic 18 (2):243-247.
Reverse mathematics and a Ramsey-type König's Lemma.Stephen Flood - 2012 - Journal of Symbolic Logic 77 (4):1272-1280.
Bounded Modified Realizability.Fernando Ferreira & Ana Nunes - 2006 - Journal of Symbolic Logic 71 (1):329 - 346.
Separation and weak könig's lemma.A. James Humphreys & Stephen G. Simpson - 1999 - Journal of Symbolic Logic 64 (1):268-278.
Some new intuitionistic equivalents of Zorn’s Lemma.John L. Bell - 2003 - Archive for Mathematical Logic 42 (8):811-814.
A proof–technique in uniform space theory.Douglas Bridges & Luminiţa Vîţă - 2003 - Journal of Symbolic Logic 68 (3):795-802.

Analytics

Added to PP
2010-09-12

Downloads
26 (#596,950)

6 months
4 (#800,606)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Add more citations

References found in this work

Weak König's Lemma Implies Brouwer's Fan Theorem: A Direct Proof.Hajime Ishihara - 2006 - Notre Dame Journal of Formal Logic 47 (2):249-252.

Add more references