Silver trees and Cohen reals

DOI10.1007/s11856-015-1279-0zbMath1370.03066OpenAlexW2257481875MaRDI QIDQ273112

Otmar Spinas

Publication date: 21 April 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-015-1279-0

zbMATH Keywords

meager idealMycielski idealSilver treeTukey reducibility

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

Related Items (7)

No Tukey reduction of Lebesgue null to Silver null sets ⋮ On splitting trees ⋮ Different cofinalities of tree ideals ⋮ A Sacks amoeba preserving distributivity of $\mathcal {P}(\omega )/\mathrm {fin}$ ⋮ UNCOUNTABLE TREES AND COHEN -REALS ⋮ Tukey reductions of nowhere Ramsey to Silver null sets ⋮ Antichains of perfect and splitting trees

Cites Work

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• Some considerations on amoeba forcing notions
• Borel partitions of infinite subtrees of a perfect tree
• Sacks forcing, Laver forcing, and Martin's axiom
• The covering numbers of Mycielski ideals are all equal
• Generic trees
• SILVER ANTICHAINS
• Some new ideals of sets on the real line

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