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Compatible Tight Riesz Orders on the Group of Automorphisms of an 0-2-Homogeneous Set: Addendum
Published online by Cambridge University Press: 20 November 2018
Abstract
The purpose of this note is to show that Theorem 8 of Davis and Fox [1] is sharp. That is, we show that the following result is valid.
THEOREM. Let Ω be an 0-2-homogeneous ordered set. Then Tρ(respectively, Tƛ ) is a maximal compatible tight Riesz order if and only if Ω has a countable cofinal(respectively, coinitial) subset.
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- Copyright © Canadian Mathematical Society 1977
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