Generalized Silver and Miller measurability

DOI10.1002/malq.201400020zbMath1367.03090arXiv2008.02922OpenAlexW1505091181MaRDI QIDQ5179277

Giorgio Laguzzi

Publication date: 19 March 2015

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

Full work available at URL: https://arxiv.org/abs/2008.02922

zbMATH Keywords

treeforcingSilver treedefinable setMiller tree\(\mathbb{P}\)-measurable setclub Miller treeclub Sacks treeclub Silver treefull Miller treeSacks treeweakly \(\mathbb{P}\)-measurable set

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Other combinatorial set theory (03E05) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (8)

A null ideal for inaccessibles ⋮ Special subsets of the generalized Cantor space and generalized Baire space ⋮ PERFECT SUBSETS OF GENERALIZED BAIRE SPACES AND LONG GAMES ⋮ More on trees and Cohen reals ⋮ The Hurewicz dichotomy for generalized Baire spaces ⋮ UNCOUNTABLE TREES AND COHEN -REALS ⋮ Regularity properties on the generalized reals ⋮ Questions on generalised Baire spaces

Cites Work

• Some considerations on amoeba forcing notions
• Mutual generics and perfect free subsets
• On strong measure zero subsets of^κ2
• Generic trees
• Measurable cardinals and the cofinality of the symmetric group
• Bad Wadge-like reducibilities on the Baire space
• Spaces homeomorphic to $\left( {2^\alpha } \right)_\alpha$

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