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

Author:

Lubarsky Robert S.

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

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3. Lubarsky Robert and Diener Hannes , Principles weaker than BD-ℕ, submitted for publication.

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