An 𝜔₂-minimal Boolean algebra

DOI10.1090/S0002-9947-96-01663-7zbMath0859.03026MaRDI QIDQ4896200

Mariusz Rabus

Publication date: 20 October 1996

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

forcingStone space\(\omega_ 2\)-minimal Boolean algebra\(L\)-minimal Boolean algebrainitially \(\aleph_ 1\)-compact

Mathematics Subject Classification ID

Consistency and independence results (03E35) Stone spaces (Boolean spaces) and related structures (06E15) Structure theory of Boolean algebras (06E05)

Related Items (9)

How to force a countably tight, initially \(\omega_ 1\)-compact and noncompact space? ⋮ On constructions with 2-cardinals ⋮ Efimov's problem and Boolean algebras ⋮ Generalized side-conditions and Moore-Mrówka ⋮ Asymmetric tie-points and almost clopen subsets of $\mathbb {N}^*$ ⋮ Morasses and finite support iterations ⋮ Thin-very tall compact scattered spaces which are hereditarily separable ⋮ A first countable, initially \(\omega _1\)-compact but non-compact space ⋮ Forcing minimal extensions of Boolean algebras

Cites Work

• Remarks on superatomic Boolean algebras
• PFA and \(\omega\) \(*_ 1\)
• Minimally generated Boolean algebras
• Countable tightness and proper forcing
• Forcing minimal extensions of Boolean algebras

This page was built for publication: An 𝜔₂-minimal Boolean algebra