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Mathematics > General Topology
Title: Trees and Homogeneous LOTS
(Submitted on 28 Jul 2021 (v1), last revised 21 Sep 2021 (this version, v2))
Abstract: We describe those complete linearly ordered topological spaces $X$ which are homogeneous (=CHLOTS). That is, $X$ is order isomorphic with any nonempty open interval in $X$. 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.
Submission history
From: Ethan Akin [view email][v1] Wed, 28 Jul 2021 11:45:34 GMT (137kb)
[v2] Tue, 21 Sep 2021 00:17:34 GMT (151kb)
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