On strong $P$-points

DOI10.1090/S0002-9939-2013-11518-2zbMath1302.03050OpenAlexW1858634293MaRDI QIDQ2839372

Michael Hrušák, Andreas Blass, Jonathan L. Verner

Publication date: 5 July 2013

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11518-2

zbMATH Keywords

ultrafilterMathias forcingstrong \(P\)-point

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

Related Items (9)

GAMES AND HEREDITARY BAIRENESS IN HYPERSPACES AND SPACES OF PROBABILITY MEASURES ⋮ Indestructibility of ideals and MAD families ⋮ Mathias-Prikry and Laver-Prikry type forcing ⋮ A simple \(P_{\aleph_1}\)-point and a simple \(P_{\aleph_2}\)-point ⋮ There is a P-measure in the random model ⋮ Menger remainders of topological groups ⋮ The Menger property on \(C_p(X, 2)\) ⋮ The ultrafilter and almost disjointness numbers ⋮ There are no P-points in Silver extensions

Cites Work

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• Mathias-Prikry and Laver-Prikry type forcing
• Homogeneity problems in the theory of Cech compactifications
• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• Mob families and mad families
• Forcing with filters and complete combinatorics
• The Shelah P-point independence theorem
• Mathias Forcing which does not Add Dominating Reals
• Combinatorial Cardinal Characteristics of the Continuum
• On the existence of P-points in the Stone-Čech compactification of integers
• Happy families
• The Rudin-Blass ordering of ultrafilters
• Ultrafilters on a countable set

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