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Strong measure zero sets and rapid filters
Published online by Cambridge University Press: 12 March 2014
Abstract
We prove that cons(ZF) implies cons(ZF + Borel conjecture + there exists a Ramsey ultrafilter). We also prove some results on strong measure zero sets from the existence of generalized Luzin sets. We study the relationships between strong measure zero sets and rapid filters on ω.
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- Research Article
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- Copyright © Association for Symbolic Logic 1988
Footnotes
This work is part of the author's Ph.D. dissertation at The Hebrew University, Jerusalem. He is grateful to his supervisor, Professor M. Magidor.
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