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Solovay-type characterizations for forcing-algebras

Published online by Cambridge University Press:  12 March 2014

Jörg Brendle
Affiliation:
Graduate School of Science and Technology, Kobe University, Rokko-Dai 1-1, Nada, Kobe 657-8501, Japan E-mail: brendle@pascal.seg.kobe-u.ac.jp
Benedikt Löwe
Affiliation:
Department of Mathematics, University of California, Berkeley, California 94720, USA E-mail: loewe@math.berkeley.edu

Abstract

We give characterizations for the (in ZFC unprovable) sentences “Every -set is measurable” and “Every -set is measurable” for various notions of measurability derived from well-known forcing partial orderings.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1999

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