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正则半开集和半同胚空间类 被引量:2

Regular-semiopen Sets and Semihomeomorphism Space Classes
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摘要 设A■X,v为X上的拓扑,用A_v^0、A_v^-、(A_v)_0、(A_v)_-、A’_v分别记A在(X,v)中的内部、闭包、半内部、半闭包和补集。用η_v、ζ_v、ζ_v分别记(X,v)中的半开集族、无处稠密集族和稠密集族。当v=u时,略去上述记号中的足码v。 In this paper, the regular-semiopen and regular-semiclosed sets intopological space are introduced. Based on this, the structure or semihomeomorphismspace classes is discussed. then almost-semiirresolute and almost-semiirresolute-open(closed) mappings are given.
作者 白世忠
机构地区 延安大学数学系
出处 《纯粹数学与应用数学》 CSCD 1991年第1期97-99,共3页 Pure and Applied Mathematics
关键词 正则半开集 半同胚空间类 正则半闭集 拓扑空间 semiopen sets regular open sets regular-semiopen sets semihomeomorphism space classes almost-semiirrsolute mappings almost-semiirresolute-open mappings
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参考文献1

  • 1杨忠强.半同胚空间类和半拓扑性质[J]科学通报,1984(07).

同被引文献17

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  • 6杨忠强 杨乐成.半同胚空间类.数学年刊:A辑,1998,3(9):324-329.
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  • 8杨忠强 杨乐成.半同胚空间类.数学年刊:A辑,1988,9(3):83-88.
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  • 10LEVINE N L. Semi-open sets and semi-continuity in topological spaces[J]. Amer Math Monthly, 1963, 70: 34-41.

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