English

Counterexamples to countable-section $\varPi^1_2$ uniformization and $\varPi^1_3$ separation

Logic 2018-08-16 v2

Abstract

We make use of a finite support product of the Jensen minimal Π21\varPi^1_2 singleton forcing to define a model in which Π21\varPi^1_2 Uniformization fails for a set with countable cross-sections. We also define appropriate submodels of the same model in which Separation fails for Π31\varPi^1_3.

Cite

@article{arxiv.1410.2537,
  title  = {Counterexamples to countable-section $\varPi^1_2$ uniformization and $\varPi^1_3$ separation},
  author = {Vladimir Kanovei and Vassily Lyubetsky},
  journal= {arXiv preprint arXiv:1410.2537},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1408.3901

R2 v1 2026-06-22T06:18:25.353Z