English

A definable $\mathsf E_0$-class containing no definable elements

Logic 2018-08-16 v1

Abstract

A generic extension L[x]L[x] of LL by a real xx is defined, in which the E0\mathsf E_0-class of xx is a lightface Π21\Pi^1_2 set containing no ordinal-definable reals.

Cite

@article{arxiv.1408.6642,
  title  = {A definable $\mathsf E_0$-class containing no definable elements},
  author = {Vladimir Kanovei and Vassily Lyubetsky},
  journal= {arXiv preprint arXiv:1408.6642},
  year   = {2018}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1408.3901

R2 v1 2026-06-22T05:42:30.419Z