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The weak König lemma and uniform continuity

Published online by Cambridge University Press:  12 March 2014

Josef Berger
Josef Berger*
Affiliation:
Japan Advanced Institute of Science and Technology, School of Information Science, 1-1 Asahidai, Nomi, Ishikawa 923-1292, Japan, E-mail: jberger@jaist.ac.jp
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 73 , Issue 3 , September 2008 , pp. 933 - 939
Copyright
Copyright © Association for Symbolic Logic 2008

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References

REFERENCES

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