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PCF structures of height less than ω3

Published online by Cambridge University Press:  12 March 2014

Karim Er-rhaimini  and
Boban Veličković
Karim Er-rhaimini
Affiliation:
Équipe de Logique, Université Paris7 Diderot, Site Chevaleret 75205, Paris Cedex 13, France. E-mail: errhaimini@logique.jussieu.fr, URL: http://www.logique.jussieu.fr/~boban
Boban Veličković
Affiliation:
Équipe de Logique, Université Paris 7 Diderot, Site Chevaleret 75205, Paris Cedex 13, France. E-mail: boban@logique.jussieu.fr, URL: http://www.logique.jussieu.fr/~boban
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Abstract

We show that it is relatively consistent with ZFC to have PCF structures of height δ, for all ordinals δ < ω3.

Keywords

cardinal arithmeticPCF theorylocally compact scattered spacesforcingΔ-functions
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 4 , December 2010 , pp. 1231 - 1248
Copyright
Copyright © Association for Symbolic Logic 2010

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