Journal of Symbolic Logic

Bounds for covering numbers

Andreas Liu

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Let λ be a singular cardinal of uncountable cofinality ν. Under various assumptions about the sizes of covering families for cardinals below λ, we prove upper bounds for the covering number cov(λ,λ,ν⁺,2). This covering number is closely related to the cofinality of the partial order ([λ]ν,⊆).

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J. Symbolic Logic Volume 71, Issue 4 (2006), 1303-1310.

First available in Project Euclid: 20 November 2006

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Liu, Andreas. Bounds for covering numbers. J. Symbolic Logic 71 (2006), no. 4, 1303--1310. doi:10.2178/jsl/1164060456.

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