Journal of Symbolic Logic

The weak König lemma and uniform continuity

Josef Berger

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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.

Article information

J. Symbolic Logic, Volume 73, Issue 3 (2008), 933-939.

First available in Project Euclid: 27 December 2008

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 26A15: Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) {For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27} 3F35 3F60


Berger, Josef. The weak König lemma and uniform continuity. J. Symbolic Logic 73 (2008), no. 3, 933--939. doi:10.2178/jsl/1230396756.

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