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- W1996015870 abstract "It is known that a strongly archimedean locally compact tight Riesz group without pseudozeros is essential R m with the usual topology and tight order. We show that a locally compact tight Riesz group, ( G , ≦), without pseudozeros, is algebraically and topologically isomorphic with R m ⊕ D , where D is discrete. R m ⊕ {0} is a clopen o ideal; and we give necessary and sufficient conditions for G to be isomorphic with R m ⊕ D in all respects. Further ( G , ≦) contains an o ideal isomorphic with R m ⊕ ∑ ℵ Z and G is isomorphic with it if and only if ( G , ≦, U) is interval-compact." @default.
- W1996015870 created "2016-06-24" @default.
- W1996015870 creator A5020276394 @default.
- W1996015870 date "1975-03-01" @default.
- W1996015870 modified "2023-09-24" @default.
- W1996015870 title "Locally compact tight Riesz groups" @default.
- W1996015870 cites W2100255913 @default.
- W1996015870 doi "https://doi.org/10.1017/s1446788700029542" @default.
- W1996015870 hasPublicationYear "1975" @default.
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