Some topological consequences of the Product Measure Extension Axiom

DOI10.4064/fm-115-1-1-8zbMath0523.54014OpenAlexW903421707WikidataQ114573926 ScholiaQ114573926MaRDI QIDQ3673659

Heikki J. K. Junnila

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/211323

zbMATH Keywords

generalized metric spacesweak characternormal Moore space problemproduct measure extension theorem(sub)normal spacescollectionwise (sub)normal spacesG-delta-additive partitionmodels of ZFC+PMEAsemi-stratifiabilitysigma-discrete closed refinementspaces of (weak) character \(<c\)

Mathematics Subject Classification ID

Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Consistency and independence results in general topology (54A35) Other set-theoretic hypotheses and axioms (03E65) Stratifiable spaces, cosmic spaces, etc. (54E20)

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On \(\nearrow\)-normal spaces ⋮ New proofs of the consistency of the normal Moore space conjecture. II

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