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Principles Weaker than BD-N

Published online by Cambridge University Press:  12 March 2014

Robert S. Lubarsky and
Hannes Diener
Robert S. Lubarsky
Affiliation:
Dept. of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL 33431, USA, E-mail: Robert.Lubarsky@alum.mit.edu
Hannes Diener
Affiliation:
Department Mathematik, Fak. IV, Emmy-Noether-Campus, Walter-Flex-Str. 3, University of Siegen, 57068 Siegen, Germany, E-mail: diener@math.uni-siegen.de
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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.

Keywords

03F6003F5003C9026E40Anti-Specker spacesBD-NCauchy sequencespartially CauchyRiemann Permutation Theoremtopological models

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 78 , Issue 3 , September 2013, pp. 873 - 885
Copyright
Copyright © Association for Symbolic Logic 2013

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