Spectra of uniformity

DOI10.14712/1213-7243.2019.008zbMath1474.03120arXiv1709.04824OpenAlexW3100820666MaRDI QIDQ5206479

Asaf Karagila, Yair Hayut

Publication date: 18 December 2019

Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.04824

zbMATH Keywords

strongly compact cardinalmeasurable cardinalaxiom of choiceuniform ultrafilterultrafilter theoremsymmetric extensions

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Axiom of choice and related propositions (03E25)

Related Items (3)

Remarks on Gitik's model and symmetric extensions on products of the Lévy collapse ⋮ Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse ⋮ Preserving Dependent Choice

Cites Work

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• A model of set-theory in which every set of reals is Lebesgue measurable
• The first measurable cardinal can be the first uncountable regular cardinal at any successor height
• Models of set theory containing many perfect sets
• Set Theory
• Some applications of the notions of forcing and generic sets
• Embedding orders into the cardinals with \mathsf DC_κ
• On preimages of ultrafilters in ZF

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