Cofinalities of countable ultraproducts: The existence theorem

DOI10.1305/ndjfl/1093635237zbMath0694.03029OpenAlexW2014568148MaRDI QIDQ908904

R. Michael Canjar

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1305/ndjfl/1093635237

zbMATH Keywords

ultrapowerultrafiltercofinalitydominating familycoinitialityfinite-to-one functions

Mathematics Subject Classification ID

Other combinatorial set theory (03E05)

Related Items (14)

The Glicksberg theorem for Tychonoff extension properties ⋮ On the cofinality of ultrapowers ⋮ YET ANOTHER IDEAL VERSION OF THE BOUNDING NUMBER ⋮ Michael spaces and ultrafilters ⋮ Special ultrafilters and cofinal subsets of \(({}^\omega \omega, <^*)\) ⋮ Scales, fields, and a problem of Hurewicz ⋮ Principle \(\mathrm{S}_1(\mathcal{P}, \mathcal{R})\): ideals and functions ⋮ Ideal weak QN-spaces ⋮ Finite powers and products of Menger sets ⋮ Controlling cardinal characteristics without adding reals ⋮ On the length of chains of proper subgroups covering a topological group ⋮ MATHIAS FORCING AND COMBINATORIAL COVERING PROPERTIES OF FILTERS ⋮ Critical Cardinalities and Additivity Properties of Combinatorial Notions of Smallness ⋮ The Rudin-Blass ordering of ultrafilters

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