STRONGLY MEAGER SETS DO NOT FORM AN IDEAL

DOI10.1142/S0219061301000028zbMath0980.03053arXivmath/9805148OpenAlexW2123216341MaRDI QIDQ2732506

Saharon Shelah, Tomek Bartoszynski

Publication date: 27 February 2002

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9805148

zbMATH Keywords

idealcontinuum hypothesisstrongly meager sets

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Cardinal characteristics of the continuum (03E17)

Related Items (7)

On sets which can be moved away from sets of a certain family ⋮ Strongly meager sets can be quite big ⋮ On the algebraic union of strongly measure zero sets and their relatives with sets of real numbers ⋮ Borel Conjecture, dual Borel Conjecture, and other variants of the Borel Conjecture ⋮ There are no very meager sets in the model in which both the Borel Conjecture and the dual Borel Conjecture are true ⋮ On G-transitive version of perfectly meager sets ⋮ A note on duality between measure and category

Cites Work

• \(\gamma\)-sets and other singular sets of real numbers
• On the consistency of Borel's conjecture
• Every Sierpiński set is strongly meager

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