Some constructions of ultrafilters over a measurable cardinal

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Abstract

Some non-normal κ-complete ultrafilters over a measurable κ with special properties are constructed. Questions by A. Kanamori [4] about infinite Rudin-Frolik sequences, discreteness and products are answered.

Original languageEnglish
Article number102821
JournalAnnals of Pure and Applied Logic
Volume171
Issue number8
DOIs
StatePublished - 1 Aug 2020

Funding

FundersFunder number
Israel Science Foundation58/14, 1216/18

    Keywords

    • Measurable cardinals
    • Products
    • Rudin-Keisler ordering
    • Ultrafilters
    • Ultrapowers

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