Nearly projective Boolean algebras

DOI10.1007/BFB0094103zbMath0812.06007OpenAlexW601141331MaRDI QIDQ1341433

Lutz Heindorf, Leonid B. Shapiro

Publication date: 2 January 1995

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0094103

zbMATH Keywords

surveyconsistencyfree Boolean algebrasCohen algebrasgeneralizations of projective Boolean algebrasopenly generated Boolean spaces

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Consistency and independence results (03E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Stone spaces (Boolean spaces) and related structures (06E15) Consistency and independence results in general topology (54A35) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Structure theory of Boolean algebras (06E05) Research exposition (monographs, survey articles) pertaining to ordered structures (06-02)

Related Items (17)

Noetherian types of homogeneous compacta and dyadic compacta ⋮ Game approach to universally Kuratowski-Ulam spaces ⋮ Semi-Cohen Boolean algebras ⋮ Partial orderings with the weak Freese-Nation property ⋮ Topological spaces with the Freese-nation property. II ⋮ A note on the Freese–Nation property and topological games ⋮ The \((\lambda ,\kappa )\)-Freese-Nation property for Boolean algebras and compacta ⋮ Skeletally Dugundji spaces ⋮ Boolean algebras admitting a countable minimally acting group ⋮ Special subalgebras of Boolean algebras ⋮ A game on partial orderings ⋮ Inverse systems and I-favorable spaces ⋮ On the weak Freese-Nation property of complete Boolean algebras ⋮ Topological spaces with the Freese-nation property ⋮ Game theoretic approach to skeletally Dugundji and Dugundji spaces ⋮ A generalization of \(\varkappa\)-metrizable spaces ⋮ Team games, hypergraph spaces, and projective Boolean algebras

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