New proofs of the consistency of the normal Moore space conjecture. II

DOI10.1016/0166-8641(90)90056-8zbMath0729.54003OpenAlexW4212987193WikidataQ123178671 ScholiaQ123178671MaRDI QIDQ806090

Franklin D. Tall, William A. R. Weiss, Alan Dow

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0166-8641(90)90056-8

zbMATH Keywords

reflectionweakly compact cardinalCohen forcingnormal Moore space

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) 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

Semimorasses and nonreflection at singular cardinals ⋮ Alan Dow ⋮ New proofs of the consistency of the normal Moore space conjecture. I ⋮ On the problem of compact totally disconnected reflection of nonmetrizability ⋮ Lindelöf spaces which are Menger, Hurewicz, Alster, productive, or \(D\) ⋮ Lindelöf spaces which are indestructible, productive, or \(D\) ⋮ Topological Applications of Generic Huge Embeddings ⋮ More topological applications of generic elementary embeddings ⋮ Separation and Coding ⋮ Fodor-type reflection principle and reflection of metrizability and meta-Lindelöfness ⋮ Kurepa trees and topological non-reflection ⋮ Reflection and Weakly Collectionwise Hausdorff Spaces ⋮ Forcing and normality ⋮ Reflection principles, generic large cardinals, and the continuum problem ⋮ \(\omega_1\)-strongly compact cardinals and normality ⋮ Many weak P-sets ⋮ Reflecting Lindelöfness

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extending Lebesgue measure by infinitely many sets
• The character of Bing's space
• PMEA implies proposition P
• New proofs of the consistency of the normal Moore space conjecture. I
• Some topological consequences of the Product Measure Extension Axiom
• Diamond Principles, Ideals and the Normal Moore Space Problem
• Consistency Results Concerning Supercompactness
• Strong axioms of infinity and elementary embeddings
• Topological Applications of Generic Huge Embeddings
• A topological test space for many set-theoretical axioms
• Boolean extensions and measurable cardinals
• Aronszajn trees and the independence of the transfer property