Special ultrafilters and cofinal subsets of \(({}^\omega \omega, <^*)\)

DOI10.1007/s00153-020-00724-9zbMath1461.03048OpenAlexW3014309148MaRDI QIDQ2204380

Peter J. Nyikos

Publication date: 15 October 2020

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-020-00724-9

zbMATH Keywords

ultrafilterunboundeddominating\({}^\omega \omega\)eventual dominationpseudo-\(P_\kappa\)-pointsimple P-pointsmall uncountable cardinals

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Consistency and independence results (03E35) Other combinatorial set theory (03E05) Ultraproducts and related constructions (03C20) Other classical set theory (including functions, relations, and set algebra) (03E20) Ordinal and cardinal numbers (03E10) Ordered sets and their cofinalities; pcf theory (03E04)

Related Items (3)

There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed ⋮ A simple \(P_{\aleph_1}\)-point and a simple \(P_{\aleph_2}\)-point ⋮ Michael spaces and ultrafilters

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