English

A characterisation of compact, fragmentable linear orders

Functional Analysis 2008-11-14 v1 General Topology

Abstract

We give a characterisation of fragmentable, compact linearly order spaces. In particular, we show that if KK is a compact, fragmentable, linearly ordered space then KK is a Radon-Nikod\'{y}m compact. In addition, we obtain some corollaries in topology and renorming theory.

Keywords

Cite

@article{arxiv.0811.2090,
  title  = {A characterisation of compact, fragmentable linear orders},
  author = {R. J. Smith},
  journal= {arXiv preprint arXiv:0811.2090},
  year   = {2008}
}
R2 v1 2026-06-21T11:41:08.259Z