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  1. Small $$\mathfrak {u}(\kappa )$$ u ( κ ) at singular $$\kappa $$ κ with compactness at $$\kappa ^{++}$$ κ + +.Radek Honzik & Šárka Stejskalová - 2021 - Archive for Mathematical Logic 61 (1):33-54.
    We show that the tree property, stationary reflection and the failure of approachability at \ are consistent with \= \kappa ^+ < 2^\kappa \), where \ is a singular strong limit cardinal with the countable or uncountable cofinality. As a by-product, we show that if \ is a regular cardinal, then stationary reflection at \ is indestructible under all \-cc forcings.
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  • On the Spectrum of Characters of Ultrafilters.Shimon Garti, Menachem Magidor & Saharon Shelah - 2018 - Notre Dame Journal of Formal Logic 59 (3):371-379.
    We show that the character spectrum Spχ(λ) (for a singular cardinal λ of countable cofinality) may include any prescribed set of regular cardinals between λ and 2λ.
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