On the separation of regularity properties of the reals

Giorgio Laguzzi

doi:10.1007/s00153-014-0386-7

On the separation of regularity properties of the reals

Giorgio Laguzzi

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

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.

Lingua originale	Inglese
pagine (da-a)	731-747
Numero di pagine	17
Rivista	Archive for Mathematical Logic
Volume	53
Numero di pubblicazione	7-8
DOI	https://doi.org/10.1007/s00153-014-0386-7
Stato di pubblicazione	Pubblicato - nov 2014
Pubblicato esternamente	Sì

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10.1007/s00153-014-0386-7

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title = "On the separation of regularity properties of the reals",

abstract = "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.",

keywords = "Amalgamation, Lebesgue, Miller, Regularity properties, Silver",

author = "Giorgio Laguzzi",

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AB - 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.

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KW - Lebesgue

KW - Miller

KW - Regularity properties

KW - Silver

UR - https://www.scopus.com/pages/publications/84939882405

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On the separation of regularity properties of the reals

Abstract

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