A parametrized diamond principle and union ultrafilters

DOI10.4064/CM7364-10-2017OpenAlexW3099984078WikidataQ129709250 ScholiaQ129709250MaRDI QIDQ4581984

Michael Hrušák, David J. Fernández Bretón

Publication date: 21 August 2018

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00830

zbMATH Keywords

Hindman's theoremcardinal invariants of the continuumiterated perfect set forcingparametrized diamond principlesiterated sacks modelunion ultrafilters

Mathematics Subject Classification ID

Consistency and independence results (03E35) Cardinal characteristics of the continuum (03E17) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Other set-theoretic hypotheses and axioms (03E65)

Related Items (5)

Selective ultrafilters on FIN ⋮ PARTITION FORCING AND INDEPENDENT FAMILIES ⋮ Exactly two and exactly three near-coherence classes ⋮ Forcing with copies of the Rado and Henson graphs ⋮ STABLE ORDERED UNION ULTRAFILTERS AND cov

Cites Work

• Semigroups in which all strongly summable ultrafilters are sparse
• The Shelah P-point independence theorem
• Forcing and stable ordered–union ultrafilters

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