Journal of Symbolic Logic

Principles weaker than BD-N

Hannes Diener and Robert S. Lubarsky

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Abstract

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

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

Dates
First available in Project Euclid: 6 January 2014

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1389032279

Digital Object Identifier
doi:10.2178/jsl.7803090

Mathematical Reviews number (MathSciNet)
MR3135502

Zentralblatt MATH identifier
06243230

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

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

Citation

Lubarsky, Robert S.; Diener, Hannes. Principles weaker than BD-N. J. Symbolic Logic 78 (2013), no. 3, 873--885. doi:10.2178/jsl.7803090. https://projecteuclid.org/euclid.jsl/1389032279


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