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A definable E 0 class containing no definable elements

A definable E 0 class containing no definable elements A generic extension $${\mathbf{L}[x]}$$ L [ x ] by a real x is defined, in which the $${\mathsf{E}_0}$$ E 0 -class of x is a lightface $${{\it \Pi}^1_2}$$ Π 2 1 (hence, ordinal-definable) set containing no ordinal-definable reals. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

A definable E 0 class containing no definable elements

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References (5)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematical Logic and Foundations; Mathematics, general; Algebra
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/s00153-015-0436-9
Publisher site
See Article on Publisher Site

Abstract

A generic extension $${\mathbf{L}[x]}$$ L [ x ] by a real x is defined, in which the $${\mathsf{E}_0}$$ E 0 -class of x is a lightface $${{\it \Pi}^1_2}$$ Π 2 1 (hence, ordinal-definable) set containing no ordinal-definable reals.

Journal

Archive for Mathematical Logic – Springer Journals

Published: Jun 27, 2015

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