Closed sets which consistently have few translations covering the line

Tomek Bartoszynski; Paul Larson; Saharon Shelah

doi:10.4064/fm191-8-2016

Closed sets which consistently have few translations covering the line

Tomek Bartoszynski
, Paul Larson
, Saharon Shelah

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We characterize the compact subsets K of 2ω for which one can force the existence of a set X of cardinality less than the continuum such that K + X = 2ω.

Original language	English
Pages (from-to)	101-125
Number of pages	25
Journal	Fundamenta Mathematicae
Volume	237
Issue number	2
DOIs	https://doi.org/10.4064/fm191-8-2016
State	Published - 2017

Bibliographical note

Publisher Copyright:
© Instytut Matematyczny PAN, 2017.

Keywords

Compact sets
Covering numbers
Sacks forcing
Translations

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10.4064/fm191-8-2016

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title = "Closed sets which consistently have few translations covering the line",

abstract = "We characterize the compact subsets K of 2ω for which one can force the existence of a set X of cardinality less than the continuum such that K + X = 2ω.",

keywords = "Compact sets, Covering numbers, Sacks forcing, Translations",

author = "Tomek Bartoszynski and Paul Larson and Saharon Shelah",

note = "Publisher Copyright: {\textcopyright} Instytut Matematyczny PAN, 2017.",

year = "2017",

doi = "10.4064/fm191-8-2016",

language = "אנגלית",

volume = "237",

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journal = "Fundamenta Mathematicae",

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AU - Bartoszynski, Tomek

AU - Larson, Paul

AU - Shelah, Saharon

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Y1 - 2017

N2 - We characterize the compact subsets K of 2ω for which one can force the existence of a set X of cardinality less than the continuum such that K + X = 2ω.

AB - We characterize the compact subsets K of 2ω for which one can force the existence of a set X of cardinality less than the continuum such that K + X = 2ω.

KW - Compact sets

KW - Covering numbers

KW - Sacks forcing

KW - Translations

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AN - SCOPUS:85017463794

SN - 0016-2736

VL - 237

SP - 101

EP - 125

JO - Fundamenta Mathematicae

JF - Fundamenta Mathematicae

IS - 2

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Closed sets which consistently have few translations covering the line

Abstract

Bibliographical note

Keywords

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