On the Uniform Projection Problem in Descriptive Set Theory
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.
Authors
- Vassily Lyubetsky (ORCID: https://orcid.org/0000-0002-3739-9161)
- Vladimir Kanovei (ORCID: https://orcid.org/0000-0001-7415-9784)
Institutions
- Institute for Information Transmission Problems (RU)
Publication Details
- Journal
- Axioms
- Published
- 2024-12-29
- DOI
- https://doi.org/10.3390/axioms14010013
- Primary Topic
- Advanced Topology and Set Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Russian Science Foundation