A Provisional Solution to the Normal Moore Space Problem

DOI10.2307/2042338zbMath0446.54030OpenAlexW4239696251MaRDI QIDQ3891409

Peter J. Nyikos

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2042338

zbMATH Keywords

normal Moore space problemProduct Measure Extension Axiom

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Moore spaces (54E30) Consistency and independence results in general topology (54A35)

Related Items (18)

On \(\nearrow\)-normal spaces ⋮ Pmea and First Countable, Countably Paracompact Spaces ⋮ New proofs of the consistency of the normal Moore space conjecture. I ⋮ The w\(\Delta\)-space problem ⋮ How to Choose New Axioms for Set Theory? ⋮ Determinacy axioms and large cardinals ⋮ Collectionwise Normality without Large Cardinals ⋮ An internal topological characterization of the subspaces of Eberlein compacta and related compacta. I ⋮ If all Normal Moore Spaces are Metrizable, then there is an Inner Model with a Measurable Cardinal ⋮ On Collectionwise Normality of Locally Compact, Normal Spaces ⋮ Separation in Countably Paracompact Spaces ⋮ Malykhin's problem ⋮ Large Cardinals and Small Dowker Spaces ⋮ Normal measure axiom and Balogh's theorems ⋮ PMEA implies proposition P ⋮ \(\omega_1\)-strongly compact cardinals and normality ⋮ On \(\delta\)-normality ⋮ Normal, not paracompact spaces

Cites Work

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• Generalizations of the first axiom of countability
• On defining a space by a weak base
• Concerning semi-stratifiable spaces
• Normal Moore Spaces in the Constructible Universe
• On point-countable collections and monotonic properties
• Characterizations of Developable Topological Spaces
• Conjectures and Counterexamples in Metrization Theory
• A Set-Theoretic Proposition Implying the Metrizability of Normal Moore Spaces
• Screenability, Pointwise Paracompactness, and Metrization of Moore Spaces
• Concerning normal and completely normal spaces
• Metrization of Topological Spaces

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