English

Forcings constructed along morasses

Logic 2011-07-26 v3

Abstract

In a previous paper, we introduced a way of constructing a forcing along a simplified gap-1 morass such that the forcing satisfies a chain condition. Now, we generalize this to gap-2 morasses. As an application, we prove that GCH is consistent with the existence of a 0-dimensional Hausdorff topology on ω3\omega_3 which has spread ω1\omega_1.

Keywords

Cite

@article{arxiv.0810.5641,
  title  = {Forcings constructed along morasses},
  author = {Bernhard Irrgang},
  journal= {arXiv preprint arXiv:0810.5641},
  year   = {2011}
}

Comments

accepted for the Journal of Symbolic Logic, various minor changes were made to the previous version

R2 v1 2026-06-21T11:36:52.348Z