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Larger cardinals in Cichoń's diagram

Published online by Cambridge University Press:  12 March 2014

Jörg Brendle*
Affiliation:
Department of Mathematics and Computer Science, Dartmouth College, Hanover, New Hampshire 03755 Mathematisches Institut, Universität Tübingen, W-7400 Tübingen, Germany

Abstract

We prove that in many situations it is consistent with ZFC that part of the invariants involved in Cichoń's diagram are equal to κ while the others are equal to λ, where κ < λ are both arbitrary regular uncountable cardinals. We extend some of these results to the case when λ is singular. We also show that cf is consistent with ZFC.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1991

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