Nonhomogeneous analytic families of trees

DOI10.1090/tran/7517OpenAlexW2962857047WikidataQ128969267 ScholiaQ128969267MaRDI QIDQ5227975

James Hirschorn

Publication date: 7 August 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.0147

zbMATH Keywords

splitting realcross-\(t\)-intersecting familiessouslin forcing

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Descriptive set theory (03E15) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (1)

Nonhomogeneous analytic families of trees

Cites Work

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• The complete intersection theorem for systems of finite sets
• The exact bound in the Erdős-Ko-Rado theorem for cross-intersecting families
• How special are Cohen and random forcings, i. e. Boolean algebras of the family of subsets of reals moduli meagre or null
• ccc forcing and splitting reals
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• COMPLETE CCC BOOLEAN ALGEBRAS, THE ORDER SEQUENTIAL TOPOLOGY, AND A PROBLEM OF VON NEUMANN
• Happy families
• Nonhomogeneous analytic families of trees
• Maharam's problem
• Consistently there is no non trivial ccc forcing notion with the Sacks or Laver property

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