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Bounds for covering numbers

Published online by Cambridge University Press:  12 March 2014

Andreas Liu
Andreas Liu*
Affiliation:
Department of Neurobiology, Harvard Medical School, 220 Longwood Avenue Boston, MA 02115, USA, E-mail: andreas_liu@hms.harvard.edu
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Abstract

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. ⊆).

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 71 , Issue 4 , December 2006 , pp. 1303 - 1310
Copyright
Copyright © Association for Symbolic Logic 2006

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References

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