LOTS as Fixed Point Sets: An Application of Tarski's Fixed Point Theorem (draft)

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This article has been withdrawn in 2013.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.

arXiv commentDraft withdrawn immediately after its publication in arxiv, in 2013, due to a mistake in a lemma