Regular ArticleLowen Spaces
Regular ArticleLowen Spaces
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DOI：
10.1006/jmaa.1999.6586
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发表时间：
2000
影响因子：
1.3
通讯作者：
Ying-ming Liu;Dexue Zhang
中科院分区：
文献类型：
--
作者：
Ying-ming Liu;Dexue Zhang
An L-fuzzy topological space (X, Δ) is called a Lowen space if Δ has a basis consisting of leveled characteristic functions, that is to say, the elements in Δ of the form aU, a ∈ L, U ⊆ X are a basis for Δ. In the case L = [0, 1], (X, Δ) is a Lowen space if and only if (X, Δ) is a fuzzy neighborhood space in the sense of Lowen. It is proved in this paper that the category of Lowen spaces is a simultaneously bireflective and bicoreflective subcategory of the category of L-fuzzy topological spaces, and it is isomorphic to the category of L-fuzzifying topological spaces. Several characterizations of these spaces are given.
