关于实数正则性的分离
On the sepration of regularity properties of the reals
摘要:
本文提出了一个模型,其中ω_1是实数不可达的,Silver可测性对所有集合成立,但Miller和Lebesgue可测性对某些集合不成立.这有助于一系列的研究开始由谢拉在20世纪80年代和最近继续由Schrittesser和弗里德曼,关于分离的不同概念的正则性性质的真正的线。
英文摘要:
We present a model where ω_1 is inaccessible by reals, Silver measurability holds for all sets but Miller and Lebesgue measurability fail for some sets. This contributes to a line of research started by Shelah in the 1980s and more recently continued by Schrittesser and Friedman, regarding the separation of different notions of regularity properties of the real line.
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