Strong measure zero sets and rapid filters
Journal of Symbolic Logic 53 (2):393-402 (1988)
| Abstract | We prove that $\operatorname{cons}(ZF)$ implies $\operatorname{cons}(ZF +$ 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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