Perfectly Normal Non-metrizable Non-Archimedean Spaces are Generalized Souslin Lines

@inproceedings{Qiao1999PerfectlyNN,
  title={Perfectly Normal Non-metrizable Non-Archimedean Spaces are Generalized Souslin Lines},
  author={Y Qiao},
  year={1999}
}
In this paper we prove the equivalence between the existence of perfectly normal, non-metrizable, non-archimedean spaces and the existence of “generalized Souslin lines”, i.e., linearly ordered spaces in which every collection of disjoint open intervals is σ-discrete, but which do not have a σ-discrete dense set. The key ingredient is the observation that every first countable linearly ordered space has a dense non-archimedean subspace. AMS Subj. Class. (2000): Primary 54F05, 54A35; Secondary… CONTINUE READING