Ultrafilters, independent collections, and applications to topology

DOI10.1016/0166-8641(88)90041-7zbMath0644.54004OpenAlexW2003323816WikidataQ126975623 ScholiaQ126975623MaRDI QIDQ1102572

Richard E. Hodel

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0166-8641(88)90041-7

zbMATH Keywords

tightnesscardinal invariantsperiodic pointsultrafiltersubtreesarcwise connected treesindependent collectionsStone-Čech compactification.

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (1)

Pseudocompact refinements of compact group topologies

Cites Work

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• The number of metrizable spaces
• Almost-disjoint sets the dense set problem and the partition calculus
• Ultrafilters: Some old and some new results
• Some theorems of set theory and their topological consequences
• Ultrafilters and Independent Sets
• Sur les opérations linéaires dans l'espace des fonctions bornées
• Sur l'extension de deux théorèmes topologiques à la Théorie des ensembles

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