English

Wide scattered spaces and morasses

Logic 2010-06-10 v1 General Topology

Abstract

We show that it is relatively consistent with ZFC that 2^omega is arbitrarily large and every sequence s=(s_i:i<omega_2) of infinite cardinals with s_i<=2^omega is the cardinal sequence of some locally compact scattered space.

Cite

@article{arxiv.1006.1720,
  title  = {Wide scattered spaces and morasses},
  author = {Lajos Soukup},
  journal= {arXiv preprint arXiv:1006.1720},
  year   = {2010}
}

Comments

14 pages

R2 v1 2026-06-21T15:33:47.469Z