Ramsey and Freeness Properties of Polish Planes

DOI10.1112/S0024611500012740zbMath1020.03042OpenAlexW2112733797MaRDI QIDQ2766383

Otmar Spinas

Publication date: 28 January 2002

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

Full work available at URL: https://doi.org/10.1112/s0024611500012740

zbMATH Keywords

partitionBaire spaceRamsey theoryBorel setPolish spacefree set\(\sigma\)-compact spaceMiller forcingsuperperfect setBorel coloringsuperperfect treePolish plane

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Partition relations (03E02) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (10)

TREE FORCING AND DEFINABLE MAXIMAL INDEPENDENT SETS IN HYPERGRAPHS ⋮ Proper forcing and rectangular Ramsey theorems ⋮ Cichoń's diagram for uncountable cardinals ⋮ Proper products ⋮ Mycielski among trees ⋮ A Sacks amoeba preserving distributivity of $\mathcal {P}(\omega )/\mathrm {fin}$ ⋮ CANONICAL BEHAVIOR OF BOREL FUNCTIONS ON SUPERPERFECT RECTANGLES ⋮ Additivity of the two-dimensional Miller ideal ⋮ Complexity of reals in inner models of set theory ⋮ Maharam algebras and Cohen reals

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