Journal of Symbolic Logic

Principles weaker than BD-N

Hannes Diener and Robert S. Lubarsky

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BD-N is a weak principle of constructive analysis. Several interesting principles implied by BD-N have already been identified, namely the closure of the anti-Specker spaces under product, the Riemann Permutation Theorem, and the Cauchyness of all partially Cauchy sequences. Here these are shown to be strictly weaker than BD-N, yet not provable in set theory alone under constructive logic.

Article information

J. Symbolic Logic, Volume 78, Issue 3 (2013), 873-885.

First available in Project Euclid: 6 January 2014

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 03F60, 03F50, 03C90, 26E40

Anti-Specker spaces BD-N Cauchy sequences partially Cauchy Riemann Permutation Theorem topological models


Lubarsky, Robert S.; Diener, Hannes. Principles weaker than BD-N. J. Symbolic Logic 78 (2013), no. 3, 873--885. doi:10.2178/jsl.7803090.

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