There are no very meager sets in the model in which both the Borel Conjecture and the dual Borel Conjecture are true

Saharon Shelah; Wolfgang Wohofsky

doi:10.1002/malq.201600002

There are no very meager sets in the model in which both the Borel Conjecture and the dual Borel Conjecture are true

Saharon Shelah
, Wolfgang Wohofsky^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

We show that the model for the simultaneous consistency of the Borel Conjecture and the dual Borel Conjecture given in actually satisfies a stronger version of the dual Borel Conjecture: there are no uncountable very meager sets.

Original language	English
Pages (from-to)	434-438
Number of pages	5
Journal	Mathematical Logic Quarterly
Volume	62
Issue number	4-5
DOIs	https://doi.org/10.1002/malq.201600002
State	Published - 1 Aug 2016

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© 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

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abstract = "We show that the model for the simultaneous consistency of the Borel Conjecture and the dual Borel Conjecture given in actually satisfies a stronger version of the dual Borel Conjecture: there are no uncountable very meager sets.",

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There are no very meager sets in the model in which both the Borel Conjecture and the dual Borel Conjecture are true

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