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Strong measure zero sets and rapid filters

  • Jaime I. Ihoda (a1) (a2)

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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Department of Mathematics, University of California, Berkeley, California 94720.

References

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Strong measure zero sets and rapid filters

  • Jaime I. Ihoda (a1) (a2)

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