Axioms (Dec 2024)

On the Uniform Projection Problem in Descriptive Set Theory

  • Vladimir Kanovei,
  • Vassily Lyubetsky

DOI
https://doi.org/10.3390/axioms14010013
Journal volume & issue
Vol. 14, no. 1
p. 13

Abstract

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For every n≥1, generic models of ZFC will be presented for either of the following two sentences: 1. There exists a linear Σn+21 set not equal to the projection of any uniform planar Πn+21 set. 2. There exists a linear Δn+21 set not equal to the projection of any uniform planar Πn+11 set. Ensuing consistency and independence corollaries are discussed.

Keywords