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We construct a model with a uniform ultrafilter U over a singular strong limit cardinal $$\kappa$$ κ such that $$\kappa < {\rm cof}({\rm Ch}(U))< {\rm Ch}(U)< 2^{\kappa}$$ κ < cof… Click to show full abstract
We construct a model with a uniform ultrafilter U over a singular strong limit cardinal $$\kappa$$ κ such that $$\kappa < {\rm cof}({\rm Ch}(U))< {\rm Ch}(U)< 2^{\kappa}$$ κ < cof ( Ch ( U ) ) < Ch ( U ) < 2 κ .
Keywords:
ultrafilter singular;
singular cardinal;
uniform ultrafilter;
kappa;
singular character;
cardinal singular
Journal Title: Acta Mathematica Hungarica
Year Published: 2020
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Journal Title: Acta Mathematica Hungarica
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!