English

Some combinatorial properties of splitting trees

Logic 2021-06-15 v1

Abstract

We show that splitting forcing does not have the weak Sacks property below any condition, answering a question of Laguzzi, Mildenberger and Stuber-Rousselle. We also show how some partition results for splitting trees hold or fail and we determine the value of cardinal invariants after an ω2\omega_2-length countable support iteration of splitting forcing.

Keywords

Cite

@article{arxiv.2106.07511,
  title  = {Some combinatorial properties of splitting trees},
  author = {Jonathan Schilhan},
  journal= {arXiv preprint arXiv:2106.07511},
  year   = {2021}
}
R2 v1 2026-06-24T03:10:56.118Z