On the spectrum of characters of ultrafilters

DOI10.1215/00294527-2018-0006zbMath1455.03059arXiv1601.01409OpenAlexW3098704246WikidataQ129626922 ScholiaQ129626922MaRDI QIDQ1782239

Menachem Magidor, Saharon Shelah, Shimon Garti

Publication date: 19 September 2018

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01409

zbMATH Keywords

ultrafilter numbersupercompactnessPrikry forcing

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05)

Related Items (4)

Cardinal characteristics at \(\aleph_\omega\) ⋮ A uniform ultrafilter over a singular cardinal with a singular character ⋮ Remarks on generalized ultrafilter, dominating and reaping numbers ⋮ More on uniform ultrafilters over a singular cardinal

Cites Work

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• The character spectrum of \(\beta \mathbb N\)
• The ultrafilter number for singular cardinals
• A strong polarized relation
• Combinatorial Cardinal Characteristics of the Continuum
• Cardinal Arithmetic
• Prikry-Type Forcings

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