Compatible Tight Riesz Orders on the Group of Automorphisms of an 0-2-Homogeneous Set: Addendum
Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 664-665

Voir la notice de l'article provenant de la source Cambridge University Press

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 T ρ(respectively, T ƛ ) is a maximal compatible tight Riesz order if and only if Ω has a countable cofinal(respectively, coinitial) subset.
Davis, Gary; Fox, Colin D. Compatible Tight Riesz Orders on the Group of Automorphisms of an 0-2-Homogeneous Set: Addendum. Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 664-665. doi: 10.4153/CJM-1977-068-4
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[1] 1. Davis, G. E. and Fox, C. D., Compatible tight Riesz orders on the automorphism group of an 0-2-homogeneous set, Can. J. Math. 28 (1976), 1076–1081. Google Scholar

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