标题：Expansion of <mml:math alttext="$\alpha$" id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>α</mml:mi></mml:math>-open sets and decomposition of <mml:math alttext="$\alpha$" id="E2" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>α</mml:mi></mml:math>-continuous mappings
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：2005
卷号：2005
DOI：10.1155/IJMMS.2005.2575
出版社：Hindawi Publishing Corporation
摘要：We introduce the notions of expansion 𝒜α of α-open sets and 𝒜α-expansion
α-continuous mappings in topological spaces. The
main result of this paper is that a map f is α-continuous
if and only if it is 𝒜α-expansion
α-continuous and ℬα-expansion
α-continuous, where 𝒜α, ℬα are two mutually dual expansions.
