Bounds for Covering Numbers
Journal of Symbolic Logic 71 (4):1303 - 1310 (2006)
Abstract
Let Λ be a singular cardinal of uncountable confinality ψ. Under various assumptions about the sizes of covering families for cardinals below Λ, we prove upper bounds for the covering number cov(Λ, Λ, v⁺, 2). This covering number is closely related to the cofinality of the partial order ([Λ]", ⊆)DOI
10.2178/jsl/1164060456
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Citations of this work
Weak saturation of ideals on Pκ(λ).Pierre Matet - 2011 - Mathematical Logic Quarterly 57 (2):149-165.
References found in this work
More on the Revised GCH and the Black Box.Saharon Shelah - 2006 - Annals of Pure and Applied Logic 140 (1):133-160.
Reflecting pictures in cardinal arithmetic.Andreas Liu - 2006 - Annals of Pure and Applied Logic 140 (1):120-127.