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
@article{10_4153_CJM_1977_068_4,
author = {Davis, Gary and Fox, Colin D.},
title = {Compatible {Tight} {Riesz} {Orders} on the {Group} of {Automorphisms} of an {0-2-Homogeneous} {Set:} {Addendum}},
journal = {Canadian journal of mathematics},
pages = {664--665},
year = {1977},
volume = {29},
number = {3},
doi = {10.4153/CJM-1977-068-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-068-4/}
}
TY - JOUR AU - Davis, Gary AU - Fox, Colin D. TI - Compatible Tight Riesz Orders on the Group of Automorphisms of an 0-2-Homogeneous Set: Addendum JO - Canadian journal of mathematics PY - 1977 SP - 664 EP - 665 VL - 29 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-068-4/ DO - 10.4153/CJM-1977-068-4 ID - 10_4153_CJM_1977_068_4 ER -
%0 Journal Article %A Davis, Gary %A Fox, Colin D. %T Compatible Tight Riesz Orders on the Group of Automorphisms of an 0-2-Homogeneous Set: Addendum %J Canadian journal of mathematics %D 1977 %P 664-665 %V 29 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-068-4/ %R 10.4153/CJM-1977-068-4 %F 10_4153_CJM_1977_068_4
[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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