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On a class of real normed lattices
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 4, pp. 785-792 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We say that a real normed lattice is quasi-Baire if the intersection of each sequence of monotonic open dense sets is dense. An example of a Baire-convex space, due to M. Valdivia, which is not quasi-Baire is given. We obtain that $E$ is a quasi-Baire space iff $(E, T({\mathcal U}),T({\mathcal U}^{-1}))$, is a pairwise Baire bitopological space, where $\mathcal U$, is a quasi-uniformity that determines, in $L$. Nachbin’s sense, the topological ordered space $E$.
We say that a real normed lattice is quasi-Baire if the intersection of each sequence of monotonic open dense sets is dense. An example of a Baire-convex space, due to M. Valdivia, which is not quasi-Baire is given. We obtain that $E$ is a quasi-Baire space iff $(E, T({\mathcal U}),T({\mathcal U}^{-1}))$, is a pairwise Baire bitopological space, where $\mathcal U$, is a quasi-uniformity that determines, in $L$. Nachbin’s sense, the topological ordered space $E$.
Classification : 54E15, 54E52, 54E55, 54F05
Keywords: Barrelled space; convex-Baire space; normed lattice; pairwise Baire spaces; quasi-Baire spaces; quasi-uniformity 
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     title = {On a class of real normed lattices},
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}
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Alegre, C.; Ferrer, J.; Gregori, V. On a class of real normed lattices. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 4, pp. 785-792. http://geodesic.mathdoc.fr/item/CMJ_1998_48_4_a14/

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