Height and Width of Superatomic Boolean Algebras

DOI10.2307/2044940zbMath0534.06004OpenAlexW4242283384MaRDI QIDQ3317161

Judith Roitman

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2044940

zbMATH Keywords

\(\omega_ 1\)-thin-thick superatomic Boolean algebraCantor-Bendixson heightwidth of superatomic Boolean algebras

Mathematics Subject Classification ID

Large cardinals (03E55) Structure theory of Boolean algebras (06E05)

Related Items (9)

A very thin thick superatomic Boolean algebra ⋮ A tall space with a small bottom ⋮ Constructions of Lindelöf scattered P-spaces ⋮ Remarks on superatomic Boolean algebras ⋮ MITCHELL-INSPIRED FORCING, WITH SMALL WORKING PARTS AND COLLECTIONS OF MODELS OF UNIFORM SIZE AS SIDE CONDITIONS, AND GAP-ONE SIMPLIFIED MORASSES ⋮ How to force a countably tight, initially \(\omega_ 1\)-compact and noncompact space? ⋮ A consistency result on thin-very tall Boolean algebras ⋮ On strong chains of uncountable functions ⋮ On cardinal sequences of Boolean algebras

Cites Work

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• Two consistency results concerning thin-tall Boolean algebras
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• Almost disjoint sets and Martin's axiom
• Kurepa's hypothesis and the continuum
• Almost-disjoint sets the dense set problem and the partition calculus
• ℵ1-TREES
• Aronszajn trees and the independence of the transfer property

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