On a class of real normed lattices
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 4, pp. 785-792.

Voir la notice de l'article dans Czech Digital Mathematics Library

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
Mots-clés : Barrelled space; convex-Baire space; normed lattice; pairwise Baire spaces; quasi-Baire spaces; quasi-uniformity 
@article{CMJ_1998__48_4_a14,
     author = {Alegre, C. and Ferrer, J. and Gregori, V.},
     title = {On a class of real normed lattices},
     journal = {Czechoslovak Mathematical Journal},
     pages = {785--792},
     publisher = {mathdoc},
     volume = {48},
     number = {4},
     year = {1998},
     mrnumber = {1658273},
     zbl = {0949.54045},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_4_a14/}
}
TY  - JOUR
AU  - Alegre, C.
AU  - Ferrer, J.
AU  - Gregori, V.
TI  - On a class of real normed lattices
JO  - Czechoslovak Mathematical Journal
PY  - 1998
SP  - 785
EP  - 792
VL  - 48
IS  - 4
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_4_a14/
LA  - en
ID  - CMJ_1998__48_4_a14
ER  - 
%0 Journal Article
%A Alegre, C.
%A Ferrer, J.
%A Gregori, V.
%T On a class of real normed lattices
%J Czechoslovak Mathematical Journal
%D 1998
%P 785-792
%V 48
%N 4
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_4_a14/
%G en
%F CMJ_1998__48_4_a14
Alegre, C.; Ferrer, J.; Gregori, V. On a class of real normed lattices. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 4, pp. 785-792. https://geodesic-test.mathdoc.fr/item/CMJ_1998__48_4_a14/