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On the failure of BD-ℕ and BD, and an application to the anti-specker property

Published online by Cambridge University Press:  12 March 2014

Robert S. Lubarsky
Robert S. Lubarsky*
Affiliation:
Dept. of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL 33431, USA, E-mail: Robert.Lubarsky@alum.mit.edu
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Abstract

We give the natural topological model for ¬BD-ℕ, and use it to show that the closure of spaces with the anti-Specker property under product does not imply BD-ℕ. Also, the natural topological model for ¬BD is presented. Finally, for some of the realizability models known indirectly to falsify BD-ℕ, it is brought out in detail how BD-ℕ fails.

Keywords

Anti-SpeckerBDBD-ℕrealizabilitytopological models
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 78 , Issue 1 , March 2013 , pp. 39 - 56
Copyright
Copyright © Association for Symbolic Logic 2013

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