Borel partitions of infinite subtrees of a perfect tree

DOI10.1016/0168-0072(93)90151-3zbMath0786.03033arXivmath/9301209OpenAlexW1967464753MaRDI QIDQ687284

Saharon Shelah, Alain Louveau, Boban Velickovic

Publication date: 5 May 1994

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9301209

zbMATH Keywords

Borel classespartition theoremstype of a perfect tree

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05)

Related Items (18)

Silver trees and Cohen reals ⋮ Compact subsets of the first Baire class ⋮ A proof of Halpern-Läuchli partition theorem ⋮ No Tukey reduction of Lebesgue null to Silver null sets ⋮ Some considerations on amoeba forcing notions ⋮ On splitting trees ⋮ Different cofinalities of tree ideals ⋮ On filling families of finite subsets of the Cantor set ⋮ A density version of the Halpern-Läuchli theorem ⋮ A Sacks amoeba preserving distributivity of $\mathcal {P}(\omega )/\mathrm {fin}$ ⋮ Infinite dimensional perfect set theorems ⋮ Unconditional families in Banach spaces ⋮ UNCOUNTABLE TREES AND COHEN -REALS ⋮ Additivity of the two-dimensional Miller ideal ⋮ Ramsey families of subtrees of the dyadic tree ⋮ Borel Conjecture, dual Borel Conjecture, and other variants of the Borel Conjecture ⋮ SILVER ANTICHAINS ⋮ Analytic ideals and cofinal types

Cites Work

• Unnamed Item
• A dual form of Ramsey's theorem
• Products of Infinitely Many Perfect Trees
• A Partition Theorem for the Infinite Subtrees of a Tree
• A Partition Theorem For Perfect Sets
• Borel sets and Ramsey's theorem
• A Partition Theorem

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