Open Access
2013/2014 On Borel Hull Operations
Tomasz Filipczak, Andrzej Rosłanowski, Saharon Shelah
Real Anal. Exchange 40(1): 129-140 (2013/2014).


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 \(\mathbb{R}^{n}\)). 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 \(\sigma\)-algebra of sets with the property of Baire.


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Tomasz Filipczak. Andrzej Rosłanowski. Saharon Shelah. "On Borel Hull Operations." Real Anal. Exchange 40 (1) 129 - 140, 2013/2014.


Published: 2013/2014
First available in Project Euclid: 1 July 2015

zbMATH: 06848827
MathSciNet: MR3365394

Primary: 28A05 , 54H05
Secondary: 03E15 , 03E17

Keywords: Borel hull , meager ideal , null ideal

Rights: Copyright © 2015 Michigan State University Press

Vol.40 • No. 1 • 2013/2014
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