文章基本信息

标题：Slightly β-continuous functions
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作者：Takashi Noiri
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2001
卷号：28
期号：8
页码：469-478
DOI：10.1155/S0161171201006640
出版社：Hindawi Publishing Corporation
摘要：
We define a function f : X → Y to be slightly β -continuous if for every clopen set V of Y , f − 1 ( V ) ⊂ Cl ( Int ( Cl ( f − 1 ( V ) ) ) ) . We obtain several properties of such a function. Especially, we define the notion of ultra-regularizations of a topology and obtain interesting characterizations of slightly β -continuous functions by using it.