文章基本信息

标题：Slightly <mml:math alttext="$\beta$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>β</mml:mi></mml:math>-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
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.