English

Iterated Priority Arguments in Descriptive Set Theory

Logic 2024-11-20 v1

Abstract

We present the true stages machinery and illustrate its applications to descriptive set theory. We use this machinery to provide new proofs of the Hausdorff-Kuratowski and Wadge theorems on the structure of Δξ0{\mathbf \Delta}^0_\xi, Louveau and Saint-Raymond's separation theorem, and Louveau's separation theorem.

Cite

@article{arxiv.2211.07958,
  title  = {Iterated Priority Arguments in Descriptive Set Theory},
  author = {Adam Day and Noam Greenberg and Matthew Harrison-Trainor and Dan Turetsky},
  journal= {arXiv preprint arXiv:2211.07958},
  year   = {2024}
}
R2 v1 2026-06-28T05:55:41.052Z