Trees and Homogeneous LOTS
General Topology
2021-09-22 v2 Dynamical Systems
Abstract
We describe those complete linearly ordered topological spaces which are homogeneous (=CHLOTS). That is, is order isomorphic with any nonempty open interval in . Using countable tail-like ordinals as indices, we build towers of distinct CHLOTS. Using tree constructions we are able to extend the towers and to describe an inductive procedure which yields every CHLOTS.
Cite
@article{arxiv.2107.13299,
title = {Trees and Homogeneous LOTS},
author = {Ethan Akin and Karel Hrbacek},
journal= {arXiv preprint arXiv:2107.13299},
year = {2021}
}