Continuum cardinals generalized to Boolean algebras

DOI10.2307/2694986zbMath1008.03029OpenAlexW2151321916MaRDI QIDQ4328845

J. Donald Monk

Publication date: 31 March 2003

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2694986

zbMATH Keywords

Boolean algebracardinal invariant

Mathematics Subject Classification ID

Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17) Structure theory of Boolean algebras (06E05)

Related Items (7)

Remarks on continuum cardinals on Boolean algebras ⋮ On the existence of towers in pseudo-tree algebras ⋮ The spectrum of maximal independent subsets of a Boolean algebra ⋮ A renorming characterisation of Banach spaces containing \(\ell_1 (\kappa)\) ⋮ A large list of small cardinal characteristics of Boolean algebras ⋮ A simultaneous generalization of independence and disjointness in Boolean algebras ⋮ Extension of Vladimirov's lemma.

Cites Work

• Tree \(\pi\)-bases for \(\beta N-N\) in various models
• On a problem of Cech
• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• Reaping number and \(\pi\)-character of Boolean algebras
• A model in which the base-matrix tree cannot have cofinal branches
• Cardinal invariants on Boolean algebras

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