Contents Online
Mathematical Research Letters
Volume 9 (2002)
Number 5
Duality and the pcf theory
Pages: 585 – 595
DOI: https://dx.doi.org/10.4310/MRL.2002.v9.n5.a2
Authors
Abstract
We consider natural cardinal invariants $\hm_{\it n}$ and prove several duality theorems, saying roughly: if $I$ is a suitably definable ideal and provably $\cov(I)\geq\hm_{\it n}$, then $\non(I)$ is provably small. The proofs integrate the determinacy theory, forcing and pcf theory.
Published 1 January 2002