Geodesic
On the Structure of Locally Solid Topologies
Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 185-191

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

This paper considers what conditions on the order structure of a Riesz space will insure that one locally solid topology is finer than another, or when does one topology induce a finer topology than another on the order bounded subsets. The basic tool employed for the comparisons will be the carrier of a locally solid topology. We shall deal mainly with topologies whose carriers are order dense; a locally solid topology with order dense carrier will be called entire. 
Aliprantis, C. D.; Burkinshaw, O. On the Structure of Locally Solid Topologies. Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 185-191. doi: 10.4153/CMB-1980-025-5
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[1] 1. Aliprantis, C. D. and Burkinshaw, O., Locally solid Riesz spaces, Academic Press, Pure and Applied Math Series, New York, 1978. Google Scholar

[2] 2. Aliprantis, C. D. and Burkinshaw, O., Minimal topologies and L -spaces. Illinois J. Math, to appear. Google Scholar

[3] 3. Amemiya, I., On ordered topological linear spaces. In: Proc. Internat. Symp. Linear Spaces, Jerusalem, 1960, pp. 14-23. Israel Acad. Sci. Humanities, Jerusalem, 1961. Google Scholar

[4] 4. Kaplan, S., The second dual of the space of continuous functions, II. Trans. Amer. Math. Soc, 93 (1959), 329-350. Google Scholar

[5] 5. Luxemburg, W. A. J. and Zaanen, A. C., Notes on Banach function spaces.Nederl. Akad. Wetensch. Proc. Ser. A, Note XII 67 (1964), 519-529. Google Scholar

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