English

Adding Abraham clubs and $\alpha$-properness

Logic 2024-09-17 v1

Abstract

For every indecomposable ordinal α<ω1\alpha < \omega_1, we introduce a variant of Abraham forcing for adding a club in ω1\omega_1, which is <α<\alpha-proper but not α\alpha-proper.

Cite

@article{arxiv.2409.09697,
  title  = {Adding Abraham clubs and $\alpha$-properness},
  author = {Mohammad Golshani and Rouholah Hoseini Naveh},
  journal= {arXiv preprint arXiv:2409.09697},
  year   = {2024}
}
R2 v1 2026-06-28T18:45:08.566Z