English

Cardinal sequences of LCS spaces under GCH

Logic 2007-12-05 v1 General Topology

Abstract

We give full characterization of the sequences of regular cardinals that may arise as cardinal sequences of locally compact scattered spaces under GCH. The proofs are based on constructions of universal locally compact scattered spaces.

Cite

@article{arxiv.0712.0584,
  title  = {Cardinal sequences of LCS spaces under GCH},
  author = {Juan Carlos Martinez and Lajos Soukup},
  journal= {arXiv preprint arXiv:0712.0584},
  year   = {2007}
}
R2 v1 2026-06-21T09:50:24.757Z