Hostname: page-component-7b7567c8c-2n9c9 Total loading time: 0 Render date: 2026-11-15T05:29:48.582Z Has data issue: false hasContentIssue false

The proper forcing axiom and the singular cardinal hypothesis

Published online by Cambridge University Press:  12 March 2014

Matteo Viale*
Affiliation:
Dipartimento di Matematica, Universitá di Torino, Torino, ItalyEquipe de Logique Mathematique, Université Paris7, Paris, France. E-mail: viale@dm.unito.it

Abstract

We show that the Proper Forcing Axiom implies the Singular Cardinal Hypothesis. The proof uses the reflection principle MRP introduced by Moore in [11].

Information

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable