English

Why Y-c.c

Logic 2017-03-07 v2

Abstract

We outline a portfolio of novel iterable properties of c.c.c. and proper forcing notions and study its most important instantiations, Y-c.c. and Y-properness. These properties have interesting consequences for partition-type forcings and anticliques in open graphs. Using Neeman's side condition method it is possible to obtain PFA variations and prove consistency results for them.

Keywords

Cite

@article{arxiv.1409.4596,
  title  = {Why Y-c.c},
  author = {David Chodounský and Jindřich Zapletal},
  journal= {arXiv preprint arXiv:1409.4596},
  year   = {2017}
}
R2 v1 2026-06-22T05:57:49.183Z