Cardinal functions on compact F-spaces and on weakly countably complete Boolean algebras

DOI10.4064/fm-114-3-235-256zbMath0506.54006OpenAlexW226504077MaRDI QIDQ4743409

Eric K. van Douwen

Publication date: 1981

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/211303

zbMATH Keywords

characterdensityweightcellularityspreadlimitationsLindelöf degreealgebras of clopen subsets of zero-dimensional compact F-spacescardinal functions on infinite compact F-spacesextremally disconnected compactaStone duality theoremWCC-algebrasweakly countably complete Boolean algebras

Mathematics Subject Classification ID

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

Related Items (8)

Subspaces of Basically Disconnected Spaces or Quotients of Countably Complete Boolean Algebras ⋮ In memoriam: Eric Karl van Douwen (1946-1987) ⋮ A compact F-space with noncoinciding dimensions ⋮ Some questions about Boolean algebras ⋮ Strong realcompactness and weakly measurable cardinals ⋮ Refinement Properties and Extensions of Filters in Boolean Algebras ⋮ Generalized Cardinal Properties of Lattices and Lattice Ordered Groups ⋮ On the weight-spectrum of a compact space

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