Special subsets of the reals and tree forcing notions

DOI10.1090/S0002-9939-07-08808-9zbMath1121.03056OpenAlexW2020864338MaRDI QIDQ5291945

Andrzej Nowik, Tomasz Weiss, Marcin Kysiak

Publication date: 19 June 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08808-9

zbMATH Keywords

Silver forcingMiller forcing\(\gamma\)-setLaver forcing\(\sigma\)-setRothberger's propertymeager-additive setcompletely Ramsey-null set

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Other connections with logic and set theory (28E15)

Related Items (5)

On the Class of Perfectly Null Sets and Its Transitive Version ⋮ Special subsets of the generalized Cantor space and generalized Baire space ⋮ Ideals which generalize \((v^{0})\) ⋮ On the ideal \((v^{0})\) ⋮ Uniform Algebras in the Cantor and Baire Spaces

Cites Work

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• Strongly meager sets of real numbers and tree forcing notions
• On the Ramseyan properties of some special subsets of 2^ωand their algebraic sums
• The Ramsey sets and related sigma algebras and ideals
• The algebraic sum of sets of real numbers with strong measure zero sets
• Small subsets of the reals and tree forcing notions
• Making doughnuts of Cohen reals
• Solovay-type characterizations for forcing-algebras

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