Cofinality of the partial ordering of functions from Ω1 into Ω under eventual domination

DOI10.1017/S0305004100061272zbMath0568.03022MaRDI QIDQ3684113

Karel Prikry, Thomas J. Jech

Publication date: 1984

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

zbMATH Keywords

measure algebrameasurable cardinalcofinal familyalmost disjoint families of functionseventual domination

Mathematics Subject Classification ID

Partial orders, general (06A06) Large cardinals (03E55) Measures on Boolean rings, measure algebras (28A60) Ordinal and cardinal numbers (03E10)

Related Items (10)

The character of Bing's space ⋮ Almost disjoint families and relative versions of covering properties of \(\kappa\)-paracompactness type ⋮ \((a)\)-spaces and selectively \((a)\)-spaces from almost disjoint families ⋮ Separation in Countably Paracompact Spaces ⋮ More on simple forcing notions and forcings with ideals ⋮ Properties of ideals on the generalized Cantor spaces ⋮ Separation and Coding ⋮ On general boundedness and dominating cardinals ⋮ Forcings with ideals and simple forcing notions ⋮ Normal measure axiom and Balogh's theorems

Cites Work

• Cardinality of k-complete Boolean algebras
• The covering lemma for K
• Ideals and powers of cardinals
• Almost-disjoint sets the dense set problem and the partition calculus

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