LOTS as Fixed Point Sets: An Application of Tarski's Fixed Point Theorem (draft)
General Topology
2018-03-29 v6
Abstract
This article has been withdrawn in 2013. The class of LOTS (linearly ordered topological spaces) contains many important spaces, like the set of real numbers, the set of rational numbers and the ordinals. Such spaces have rich topological properties, which are not necessarily hereditary.
Cite
@article{arxiv.1306.2146,
title = {LOTS as Fixed Point Sets: An Application of Tarski's Fixed Point Theorem (draft)},
author = {Kyriakos Papadopoulos},
journal= {arXiv preprint arXiv:1306.2146},
year = {2018}
}
Comments
Draft withdrawn immediately after its publication in arxiv, in 2013, due to a mistake in a lemma