On minimal \(\pi\)-character of points in extremally disconnected compact spaces

DOI10.1016/0166-8641(91)90105-UzbMath0752.54013OpenAlexW2091592436MaRDI QIDQ1183638

Bohuslav Balcar, Petr Simon

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0166-8641(91)90105-u

zbMATH Keywords

Boolean algebraultrafilter\(\pi\)-character\(\pi\)- weightdiscretely untouchable pointrefinement number

Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Chain conditions, complete algebras (06E10) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Related Items (16)

Remarks on continuum cardinals on Boolean algebras ⋮ Combinatorics for the dominating and unsplitting numbers ⋮ A large list of small cardinal characteristics of Boolean algebras ⋮ Special ultrafilters and cofinal subsets of \(({}^\omega \omega, <^*)\) ⋮ In memoriam: Petr Simon (1944--2018) ⋮ Rosenthal families, pavings, and generic cardinal invariants ⋮ The life and work of Bohuslav Balcar (1943--2017) ⋮ Reaping number and \(\pi\)-character of Boolean algebras ⋮ Free sequences in \({\mathscr{P}}( \omega) /\mathrm{fin}\) ⋮ Solution of Shapirovskii's question ⋮ There may be infinitely many near-coherence classes underu< ∂ ⋮ Weak P-subsets of Stone spaces ⋮ Many weak P-sets ⋮ HFD and HFC type spaces, with applications ⋮ Ultrafilters on 𝜔-their ideals and their cardinal characteristics ⋮ Applications of another characterization of \(\beta{\mathbb N}\setminus{\mathbb N}\)

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• Weak P-Points in Cech-Stone Compactifications
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