English

Coloring ordinals by reals

Logic 2007-05-23 v1

Abstract

We study combinatorial principles we call Homogeneity Principle HP(\kappa) and Injectivity Principle IP(\kappa,\lambda) for regular \kappa>\aleph_1 and \lambda\leq\kappa which are formulated in terms of coloring the ordinals <\kappa by reals.

Keywords

Cite

@article{arxiv.0704.1884,
  title  = {Coloring ordinals by reals},
  author = {Jörg Brendle and Sakaé Fuchino},
  journal= {arXiv preprint arXiv:0704.1884},
  year   = {2007}
}