Topological Applications of Generic Huge Embeddings

DOI10.2307/2154614zbMath0805.54006OpenAlexW4256384409MaRDI QIDQ4286433

Franklin D. Tall

Publication date: 5 February 1995

Full work available at URL: https://doi.org/10.2307/2154614

zbMATH Keywords

consistencyspecial treeelementary embeddingnormal Moore spacetransfer propertieshuge cardinalForeman-Laver model\(\aleph_ 1\)-paracompact\(\kappa\)- collectionwise Hausdorff

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Large cardinals (03E55) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Moore spaces (54E30) Consistency and independence results in general topology (54A35) Other set-theoretic hypotheses and axioms (03E65)

Related Items

Tightness in products of fans and pseudo-fans, \(\mathrm{PFA}(S)[S\) and locally compact normal spaces], More topological applications of generic elementary embeddings, Kurepa trees and topological non-reflection, Reflection and Weakly Collectionwise Hausdorff Spaces, A space with normal countable-to-one regular preimages, New proofs of the consistency of the normal Moore space conjecture. II, Reflecting Lindelöfness

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