Countable ultraproducts without CH

DOI10.1016/0168-0072(88)90048-6zbMath0646.03025OpenAlexW2002971968MaRDI QIDQ1103612

Michael Canjar

Publication date: 1988

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(88)90048-6

zbMATH Keywords

ultrapowerssaturationCohen realsCohen forcingcofinalityrandom realscoinitialityfull arithmeticskiesultraproducts of countable structures

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Ultraproducts and related constructions (03C20) Model theory of denumerable and separable structures (03C15)

Related Items (17)

The Glicksberg theorem for Tychonoff extension properties ⋮ On the cofinality of ultrapowers ⋮ Meager sets on the hyperfinite time line ⋮ Mathias Forcing which does not Add Dominating Reals ⋮ YET ANOTHER IDEAL VERSION OF THE BOUNDING NUMBER ⋮ Cuts in hyperfinite time lines ⋮ U-monad topologies of hyperfinite time lines ⋮ Convergence of measures after adding a real ⋮ Michael spaces and ultrafilters ⋮ Pseudointersection numbers, ideal slaloms, topological spaces, and cardinal inequalities ⋮ On indecomposable subcontinua of \(\beta{}[0,\infty{})-[0,\infty{})\) ⋮ On the length of chains of proper subgroups covering a topological group ⋮ Game sentences and ultrapowers ⋮ On the Generic Existence of Special Ultrafilters ⋮ Critical Cardinalities and Additivity Properties of Combinatorial Notions of Smallness ⋮ Unnamed Item ⋮ Ultrafilters on 𝜔-their ideals and their cardinal characteristics

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