Small u(κ) at singular κ with compactness at κ

We show that the tree property, stationary reflection and the failure of approachability at κ + + are consistent with u ( κ ) = κ + < 2 κ , where κ is a singular strong limit cardinal with the countable or uncountable cofinality. As a by-product, we show that if λ is a regular cardinal, then stat...

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Veröffentlicht in:	Archive for mathematical logic 2022-02, Vol.61 (1-2), p.33-54
Hauptverfasser:	Honzik, Radek, Stejskalová, Šárka
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Mathematical Logic and Foundations Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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