Countable partitions of product spaces

DOI10.1112/S002557930001010XzbMath0459.04001OpenAlexW2151009889MaRDI QIDQ3909047

Gadi Moran, Dona E. Strauss

Publication date: 1980

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s002557930001010x

zbMATH Keywords

residual setmeasurable setBaire setrigid mapping

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Other combinatorial set theory (03E05) Topology of special sets defined by functions (54C50) Other classical set theory (including functions, relations, and set algebra) (03E20)

Related Items

Souslin partitions of products of finite sets ⋮ Partitions of products ⋮ Pairwise sums in colourings of the reals ⋮ Ideals which generalize \((v^{0})\) ⋮ On the ideal \((v^{0})\) ⋮ Partitions of reals: Measurable approach ⋮ Graham-Rothschild parameter words and measurable partitions ⋮ Borel partitions of products of finite sets and the Ackermann function ⋮ Doughnuts, floating ordinals, square brackets, and ultraflitters ⋮ Perfect-set properties in \(L(\mathbb{R})[U\)]

Cites Work

• A model of set-theory in which every set of reals is Lebesgue measurable
• A new proof that analytic sets are Ramsey
• Borel sets and Ramsey's theorem
• Every analytic set is Ramsey