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L-smooth预开集与L-smooth预不定映射

L-smooth Preopen Sets and L-smooth Pre-irresolute Mappings
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摘要 在L-sm ooth拓扑空间中借助于r-预开集与r-预闭集引入了L-sm ooth预不定映射、L-sm ooth预不定开映射、L-sm ooth预不定闭映射及L-sm ooth预不定同构映射的概念,给出了它们的等价刻画,并在定理7中系统的讨论了它们之间的关系。 The concepts of L-smooth pre-irresolute, pre-irresolute open, pre-irresolute closed as well as pre-irresolute homomorphic mappings are introduced by means of r-preopen sets and r-preclosed sets. Their equivalent conditions are given and the relationships between them are systematically discussed in theorem 7.
出处 《甘肃科学学报》 2007年第2期25-28,共4页 Journal of Gansu Sciences
基金 陕西省教育厅专项基金(06JK152) 延安大学重点科研项目(yd2004-090)
关键词 L—smooth拓扑空间 L—smooth r-预开集 L—smooth预不定映射 L—smooth预不定开映 L—smooth预不定同构映射 L-smooth topological space L-smooth r-preopen sets L-smooth pre-irresolute mapping L-smooth pre-irresolute open mapping L-smooth pre-irresolute homomorphic mapping
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