On dual spaces of products of Boolean algebras and the Stone compactification

DOI10.1007/BF01762510zbMath0481.54022MaRDI QIDQ1162282

Claudio Bernardi

Publication date: 1980

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Stone-Cech compactificationcharacterization of the Stone spacedecomposable ultrafiltersinfinite direct product of Boolean algebrasStone compactificationssum of the Stone spaces

Mathematics Subject Classification ID

Topological lattices, etc. (topological aspects) (54H12) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Product spaces in general topology (54B10) Stone spaces (Boolean spaces) and related structures (06E15) Spectra in general topology (54B35)

Related Items (1)

Different types of congruences in direct products

Cites Work

• Representation and duality theory for diagonalizable algebras. (The algebraization of theories which express Theor. IV.)
• Sums of ultrafilters
• Rings of Integer-Valued Continuous Functions
• Cartesian products of Boolean algebras
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