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

نویسنده

  • Robert S. Lubarsky
چکیده

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-Specker, BD, BD-N, realizability, topological models AMS 2010 MSC: 03F60, 26E40

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عنوان ژورنال:
  • J. Symb. Log.

دوره 78  شماره 

صفحات  -

تاریخ انتشار 2013