在谢拉无处密集超滤波器模型中添加超滤波器

Dilip Raghavan, Juris Stepr\= ans
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引用次数: 0

摘要

我们展示了一个满足完整萨克斯性质的无处密集超滤波器模型。通过将这一强制与其他强制概念交织在一起,一个包含$(2, {\aleph}_{0})$ 选择性超滤波器但没有无处密集超滤波器的模型就产生了。由此证明,$(2, {\aleph}_{0})$ 选择性超滤波器的存在并不意味着无处密集超滤波器的存在。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Adding ultrafilters to Shelah's model for no nowhere dense ultrafilters
We exhibit a forcing for producing a model with no nowhere dense ultrafilters that satisfies the full Sacks Property. By interleaving this forcing with other forcing notions, a model containing a $(2, {\aleph}_{0})$-selective ultrafilter, but no nowhere dense ultrafilters is produced. It is thus proved that the existence of $(2, {\aleph}_{0})$-selective ultrafilters does not imply the existence of nowhere dense ultrafilters.
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