Transcendental pairs of generic extensions

2021/01/03 by Jindřich Zapletal, Zapletal, Jindrich
Computer Science · Mathematics · #03E15 #03E25 #03E35 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Limits and Structures in Graph Theory #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.2101.00553

openalex publication_date 2021/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We isolate a new preservation class of Suslin forcings and prove several associated consistency results in the choiceless theory ZF+DC regarding countable chromatic numbers of various Borel hypergraphs.

Related

• Coloring redundant algebraic hypergraphs
• Borel chromatic numbers of locally countable F_σ graphs and forcing with superperfect trees
• Borel chromatic numbers of closed graphs and forcing with uniform trees
• First steps towards a formalization of Forcing
• Preserving preservation