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4. A definable E class containing no definable elements.

Author

Kanovei, Vladimir and Lyubetsky, Vassily

Subjects
REAL numbers, EQUIVALENCE classes (Set theory), SET theory, ORDINAL numbers, MATHEMATICAL analysis
Abstract

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

Published
2015
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