HE Wei (Department of Mathematics, Shaan Xi Normal University, Xi'an 710062, P. R. China) (Deportment of Mathematics, Shandong University, Jinan 250100, P. R. China)
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History+
Received
Revised
Published
1900-01-01
1900-01-01
2001-02-15
Issue Date
2001-02-15
Abstract
We introduce a new definition of convergence of filters on a locale, which is equivalent to topological convergence on spatial lovales and can be applied to any locale. As applications, some characteriztions of compactness and description of Cauchy completeness are obtained.