On the sepration of regularity properties of the reals

Giorgio Laguzzi

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arXiv · 2004.11719

On the sepration of regularity properties of the reals

Giorgio Laguzzi

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Abstract

We present a model where \omega_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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Giorgio Laguzzi. 2020-04-24. On the sepration of regularity properties of the reals. https://arxiv.org/abs/2004.11719

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