On the separation of regularity properties of the reals
نویسنده
چکیده
We present a model where ω1 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 (see [7]), regarding the separation of different notions of regularity properties of the real line. Acknowledgement. This work constitutes a part of my doctoral dissertation, written at the Kurt Gödel Research Center, University of Vienna, under the supervision of Sy Friedman. I am extremely in debt with him, for many enlightening suggestions which greatly improved the writing of the essay. Furthermore I would like to thank the FWF (Austrian Science Fund) for its indispensable support through the research project #P22430-N13.
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ورودعنوان ژورنال:
- Arch. Math. Log.
دوره 53 شماره
صفحات -
تاریخ انتشار 2014