On the failure of BD-ℕ and BD, and an application to the anti-specker property
Robert S. Lubarsky · Journal of Symbolic Logic · 2013
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.