English

PFA(S)[S] and Locally Compact Normal Spaces

General Topology 2011-04-19 v1 Logic

Abstract

We examine locally compact normal spaces in models of form PFA(S)[S], in particular characterizing paracompact, countably tight ones as those which include no perfect pre-image of omega_1 and in which all separable closed subspaces are Lindelof.

Keywords

Cite

@article{arxiv.1104.3471,
  title  = {PFA(S)[S] and Locally Compact Normal Spaces},
  author = {Franklin D. Tall},
  journal= {arXiv preprint arXiv:1104.3471},
  year   = {2011}
}
R2 v1 2026-06-21T17:55:33.856Z