On the separation of regularity properties of the reals

On the separation of regularity properties of the reals

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 ]), regardi...

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Veröffentlicht in:Archive for mathematical logic 2014-11, Vol.53 (7-8), p.731-747
1. Verfasser: Laguzzi, Giorgio
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Archives
Logic
Mathematical logic
Mathematical Logic and Foundations
Mathematical models
Mathematics
Mathematics and Statistics
Regularity
Separation
Silver
Topological manifolds
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Zusammenfassung: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.
ISSN:0933-5846
1432-0665
DOI:10.1007/s00153-014-0386-7