English

On the hereditary paracompactness of locally compact, hereditarily normal spaces

General Topology 2011-04-19 v1 Logic

Abstract

We establish that if it is consistent that there is a supercompact cardinal, then it is consistent that every locally compact, hereditarily normal space which does not include a perfect pre-image of omega_1 is hereditarily paracompact.

Keywords

Cite

@article{arxiv.1104.3468,
  title  = {On the hereditary paracompactness of locally compact, hereditarily normal spaces},
  author = {Paul Larson and Franklin D. Tall},
  journal= {arXiv preprint arXiv:1104.3468},
  year   = {2011}
}