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On the separation of regularity properties of the reals

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Abstract

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 (see [7]), regarding the separation of different notions of regularity properties of the real line.

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  1. Universität Hamburg, Hamburg, Germany

    Giorgio Laguzzi

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  1. Giorgio Laguzzi
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Correspondence to Giorgio Laguzzi.

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Laguzzi, G. On the separation of regularity properties of the reals. Arch. Math. Logic 53, 731–747 (2014). https://doi.org/10.1007/s00153-014-0386-7

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  • DOI: https://doi.org/10.1007/s00153-014-0386-7

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