Efimov's problem and Boolean algebras

DOI10.1016/J.TOPOL.2013.09.006zbMath1282.06014OpenAlexW1986535092MaRDI QIDQ386145

Alan Dow, Roberto Pichardo-Mendoza

Publication date: 16 December 2013

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2013.09.006

zbMATH Keywords

\(T\)-algebrasEfimov's problemfinite support iterationHechler's posetminimally generated algebrasminimally generated Boolean algebras

Mathematics Subject Classification ID

Consistency and independence results (03E35) Stone spaces (Boolean spaces) and related structures (06E15) Consistency and independence results in general topology (54A35)

Cites Work

• A first countable, initially \(\omega _1\)-compact but non-compact space
• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• Minimally generated Boolean algebras
• Sequentially Compact, Franklin-Rajagopalan Spaces
• Thin-very tall compact scattered spaces which are hereditarily separable
• Adjoining dominating functions
• The space of ultrafilters on N covered by nowhere dense sets
• A compact space having the cardinality of the continuum with no convergent sequences
• FULLY CLOSED MAPPINGS AND THE CONSISTENCY OF SOME THEOREMS OF GENERAL TOPOLOGY WITH THE AXIOMS OF SET THEORY
• On Compact Hausdorff Spaces of Countable Tightness
• Forcing minimal extensions of Boolean algebras
• An 𝜔₂-minimal Boolean algebra
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Related Items (2)

An Efimov space with character less than \(\mathfrak{s}\) ⋮ Pseudoradial spaces and copies of \(\omega_1 + 1\)

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