ON BOREL HULL OPERATIONS

Tomasz Filipczak; Andrzej Rosłanowski; Saharon Shelah

doi:10.14321/realanalexch.40.1.0129

ON BOREL HULL OPERATIONS

Tomasz Filipczak
, Andrzej Rosłanowski^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

We show that some set-theoretic assumptions (for example Martin’s Axiom) imply that there is no translation invariant Borel hull operation on the family of Lebesgue null sets and on the family of meager sets (in ℝⁿ). We also prove that if the meager ideal admits a monotone Borel hull operation, then there is also a monotone Borel hull operation on the σ–algebra of sets with the property of Baire.

Original language	English
Pages (from-to)	129-140
Number of pages	12
Journal	Real Analysis Exchange
Volume	40
Issue number	1
DOIs	https://doi.org/10.14321/realanalexch.40.1.0129
State	Published - 2015

Bibliographical note

Publisher Copyright:
Copyright © 2015 Michigan State University Press

Keywords

Borel hull
meager ideal
null ideal

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10.14321/realanalexch.40.1.0129

Cite this

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KW - null ideal

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ON BOREL HULL OPERATIONS

Abstract

Bibliographical note

Keywords

Access to Document

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