English

Uniform Unfolding and Analytic Measurability

Logic 2016-09-06 v1

Abstract

We regard Forcing Notions P adding real numbers and the algebras of P-measurable sets. As for Cohen- and Random-Forcing we can show that each analytic set is P-measurable using Solovay's Unfolding Trick for infinite games. To show this we develop the notion of strategic fusion and give a proof of a uniform unfolding theorem which allows us to reduce the proof of analytic measurability to the definition of a certain function.

Keywords

Cite

@article{arxiv.math/9606208,
  title  = {Uniform Unfolding and Analytic Measurability},
  author = {Benedikt Loewe},
  journal= {arXiv preprint arXiv:math/9606208},
  year   = {2016}
}
R2 v1 2026-07-22T17:56:13.339Z