Linearly-ordered Radon-Nidkod\'ym compact spaces
General Topology
2009-03-03 v1
Abstract
We prove that every fragmentable linearly ordered compact space is almost totally disconnected. This combined with a result of Arvanitakis yields that every linearly ordered quasi Radon-Nikodym compact space is Radon-Nikodym, providing a new partial answer to the problem of continuous images of Radon-Nikodym compacta.
Keywords
Cite
@article{arxiv.0903.0160,
title = {Linearly-ordered Radon-Nidkod\'ym compact spaces},
author = {Antonio Avilés},
journal= {arXiv preprint arXiv:0903.0160},
year = {2009}
}