Saturated Boolean algebras and their Stone spaces

DOI10.1016/0166-8641(85)90104-XzbMath0577.54003MaRDI QIDQ1065415

Alan Dow

Publication date: 1985

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

zbMATH Keywords

weightF-spacesaturated Boolean algebra\(\kappa \) -Parovichenko spacecompact extremally disconnected subspacespace of subuniform ultrafiltersStone- Čech remainder

Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Stone spaces (Boolean spaces) and related structures (06E15) Remainders in general topology (54D40) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Related Items (2)

PFA and \(\omega\) \(*_ 1\) ⋮ Parovičenko spaces with structures

Cites Work

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• Co-absolutes of \(\beta N\setminus N\)
• Set theory. An introduction to independence proofs
• Good and Ok Ultrafilters
• The space of ultrafilters on N covered by nowhere dense sets
• Trees, Gleason Spaces, and Coabsolutes of βN ∼N
• On Nowhere Dense CCC P Sets
• Refinement Properties and Extensions of Filters in Boolean Algebras
• Weak P-Points in Cech-Stone Compactifications
• Parovicenko's Characterization of βω- ω Implies CH
• The Stone Space of the Saturated Boolean Algebras

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