On a class of real normed lattices |
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| Authors: | C Alegre J Ferrer V Gregori |
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| Institution: | (1) Dpto Matemática Aplicada, Escuela Universitaria de Informática, Universidad Politécnica de Valencia, Aptdo. 22012, 46071 Valencia, Spain;(2) Dpto de Análisis Matemático, Facultad de Matemáticas, Universidad de Valencia, 46010 Burjassot, Spain;(3) Escuela Universitaria de Gandía, Universidad Politécnica de Valencia, 46730 Grao de Gandia, Spain |
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| Abstract: | 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
is a pairwise Baire bitopological space, where
, is a quasi-uniformity that determines, in L. Nachbin's sense, the topological ordered space E. |
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| Keywords: | Barrelled space convex-Baire space normed lattice pairwise Baire spaces quasi-Baire spaces quasi-uniformity |
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