σ-Centred Forcing and Reflection of (Sub)Metrizability

DOI10.2307/2160396zbMath0801.54004OpenAlexW4256305363MaRDI QIDQ4299258

Franklin D. Tall

Publication date: 29 November 1994

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160396

zbMATH Keywords

reflectionsupercompact cardinalcountably paracompact spacesubmetrizable spacesubmetrizabilitynormal Moore spacerandom real forcingnonmetrizable space\(\sigma\)-centred forcingcountably paracompact nonsubmetrizable Moore spacesnonsubmetrizabilitystandard forcing-reflection

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Consistency and independence results (03E35) Large cardinals (03E55) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Continuum hypothesis and Martin's axiom (03E50) Moore spaces (54E30) Consistency and independence results in general topology (54A35)

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COMBINATORICS OF ULTRAFILTERS ON COHEN AND RANDOM ALGEBRAS ⋮ Towers, mad families, and unboundedness ⋮ Open problems in topology. ⋮ Topological Applications of Generic Huge Embeddings ⋮ The rearrangement number ⋮ Borel conjecture and dual Borel conjecture

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