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A hierarchy of filters on regular uncountable cardinals

Published online by Cambridge University Press:  12 March 2014

Thomas Jech*
Affiliation:
Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802

Abstract

We introduce a well-founded relation < between filters on the space of descending sequences of ordinals. For each regular uncountable cardinal κ, the length of the relation is an ordinal o(κ) ≤ (2κ)+.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1987

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References

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