On the arithmetic of density

DOI10.1016/j.topol.2016.08.016zbMath1477.03183OpenAlexW2963726323MaRDI QIDQ330057

Menachem Kojman

Publication date: 24 October 2016

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2016.08.016

zbMATH Keywords

densitycardinal arithmeticgeneralized continuum hypothesisSilver's theoremsingular cardinals hypothesis

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Other set-theoretic hypotheses and axioms (03E65) Ordinal and cardinal numbers (03E10) Ordered sets and their cofinalities; pcf theory (03E04)

Related Items (4)

Meeting numbers and pseudopowers ⋮ Partitioning a reflecting stationary set ⋮ A Galvin-Hajnal theorem for generalized cardinal characteristics ⋮ Antichains, the stick principle, and a matching number

Cites Work

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• Shelah's revised GCH theorem and a question by Alon on infinite graphs colorings
• Splitting families of sets in ZFC
• Families close to disjoint ones
• Comparing almost-disjoint families
• On a theorem of Silver
• Guessing more sets
• ERDŐS AND SET THEORY
• Lower bounds on coloring numbers from hardness hypotheses in pcf theory
• Singular Cardinals
• A topological reflection principle equivalent to Shelah’s strong hypothesis
• Splitting Strongly Almost Disjoint Families
• Singular Cardinals and the Generalized Continuum Hypothesis
• Some consistency results on density numbers
• On sets of almost disjoint subsets of a set
• On a property of families of sets

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