Sh:1176

• Shelah, S. Partition theorems for expanded trees. Preprint. arXiv: 2108.13955
• Abstract:
  We look for partition theorems for large subtrees for suitable uncountable trees and colourings parallely to the statement \lambda \rightarrow (\mu )^n_\kappa such that possibly \lambda > \mu.

  We concentrate on sub-trees of {}^{\kappa \geq}2 expanded by a well-ordering of each level. However, in the embedding the equality of levels is preserved. The gain is that we get consistency results without large cardinals.

  An intention is to apply the results to model theoretic problems.

• Version 2026-01-01 (18p)

@article{Sh:1176,
 author = {Shelah, Saharon},
 title = {{Partition theorems for expanded trees}},
 note = {\href{https://arxiv.org/abs/2108.13955}{arXiv: 2108.13955}},
 arxiv_number = {2108.13955}
}