Strong realcompactness and weakly measurable cardinals

DOI10.1016/0166-8641(90)90109-FzbMath0698.54019MaRDI QIDQ912430

James E. Baumgartner, Eric K. van Douwen

Publication date: 1990

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

zbMATH Keywords

forcingultrafilterrealcompactness(weakly) measurable cardinalproperties \(P_ 0\) and \(P_ 1\)realcompact metrizable space without \(P_ 1\)small large cardinal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Realcompactness and realcompactification (54D60) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (4)

Continuous function spaces, (db)-spaces and strongly Hewitt spaces ⋮ Strongly Hewitt spaces ⋮ In memoriam: James Earl Baumgartner (1943--2011) ⋮ On realcompact topological vector spaces

Cites Work

• An note on \(F\)-spaces
• A technique for constructing honest locally compact submetrizable examples
• Rings of Continuous Functions in Which Every Finitely Generated Ideal is Principal
• Cardinal functions on compact F-spaces and on weakly countably complete Boolean algebras
• Absolute Baire Sets
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