ISSN:
1572-9141
Keywords:
Barrelled space
;
convex-Baire space
;
normed lattice
;
pairwise Baire spaces
;
quasi-Baire spaces
;
quasi-uniformity
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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 $$(E,T(\mathcal{U}),T((\mathcal{U}^{ - 1} ))$$ 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022499925483
Permalink