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Strong measure zero sets and rapid filters

Published online by Cambridge University Press:  12 March 2014

Jaime I. Ihoda
Jaime I. Ihoda*
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem, Israel Universidad Católica de Chile, Santiago, Chile
*
Department of Mathematics, University of California, Berkeley, California 94720.
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 53 , Issue 2 , June 1988 , pp. 393 - 402
Copyright
Copyright © Association for Symbolic Logic 1988

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Footnotes

1

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.

References

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