Forcing minimal extensions of Boolean algebras

DOI10.1090/S0002-9947-99-02145-5zbMath0922.03071OpenAlexW1555602372MaRDI QIDQ4243637

Piotr Koszmider

Publication date: 19 May 1999

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02145-5

zbMATH Keywords

forcingBoolean algebrastightultrafiltercompact spacecardinal functionsminimal extensions

Mathematics Subject Classification ID

Compactness (54D30) Consistency and independence results (03E35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Stone spaces (Boolean spaces) and related structures (06E15) Continuum hypothesis and Martin's axiom (03E50) Consistency and independence results in general topology (54A35) Structure theory of Boolean algebras (06E05) Topological representations of algebraic systems (54H10)

Related Items (16)

Uncountable equilateral sets in Banach spaces of the form \(C(K)\) ⋮ An Efimov space with character less than \(\mathfrak{s}\) ⋮ Efimov's problem and Boolean algebras ⋮ On Efimov spaces and Radon measures ⋮ Generalized side-conditions and Moore-Mrówka ⋮ An 𝜔₂-minimal Boolean algebra ⋮ Measures on minimally generated Boolean algebras ⋮ Asymmetric tie-points and almost clopen subsets of $\mathbb {N}^*$ ⋮ Compact {C}-closed spaces need not be sequential ⋮ On properties of compacta that do not reflect in small continuous images ⋮ On a problem of Rolewicz about Banach spaces that admit support sets ⋮ Compact spaces with a P-base ⋮ On sequential properties of Banach spaces, spaces of measures and densities ⋮ Pseudoradial spaces and copies of \(\omega_1 + 1\) ⋮ A first countable, initially \(\omega _1\)-compact but non-compact space ⋮ Minimally generated Boolean algebras and the Nikodym property

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