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对理想拓扑空间的进一步研究 被引量：2

On the ideal topological spaces further research
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摘要 随着一般拓扑学的发展,把拓扑结构与其它数学特征结合起来进行研究激发了许多有趣的课题.一些拓扑学家尝试着在拓扑空间中引入理想结构,从而产生了理想拓扑空间.1990年,Jankovic′与Hamlett在理想拓扑空间中引入了I-开集.最近的几年里,E.Hatir与T.Noiri把研究领域扩展到了α-I-开集与半-I-开集([1-3]).本文引入了b-I-开集,进而扩展了E.Hatir与T.Noiri的研究领域. Combining the topological structure with other mathematical features has provided many interesting topics in the development of general topology. Some topologists tried to study topological structures with ideal structures in the spaces ,namely the ideal topological spaces. In 1990, Jankovic＇ and Hamlett introduced the notionof I-open sets in the ideal topological spaces. In recent years,E. Hatir and T. Noiri have extended the study to a-I-open and semi-I-open sets^（[1-3]）. In this paper,we introduce the new sets which are called b-I-open,and obtain some properties of them.
作者 陈海燕 刘士琴 王培 郑顶伟 刘旭浩
机构地区 广西大学数学与信息科学学院 衡水学院数学系
出处 《广西大学学报（自然科学版）》 CAS CSCD 2008年第1期79-82,共4页 Journal of Guangxi University（Natural Science Edition）
基金 广西自然科学基金桂科自(0728035)
关键词 理想拓扑空间 6-I-开集 b-I-连续映射 ideal topological spaces b-I-open sets b-I-continuous mappings
分类号 O189.1 [理学—基础数学]
  • 相关文献

参考文献11

  • 1Hatir E,Keskin A,Noiri T. A note on strong β-I- sets and strongly β-I-continuouse functions [J]. Acta Math Hungar,2005,108(1-2):87-94.
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二级参考文献8

  • 1陈海燕,吴磊,郑顶伟.仿紧局部紧空间的L-映象[J].广西大学学报（自然科学版）,2004,29(4):301-305. 被引量：4
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共引文献1

  • 1熊华荣,黄浩然,管春燕.关于中紧映射[J].江西师范大学学报（自然科学版）,2009,33(2):210-216.

同被引文献13

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  • 4JANKOVIC D, HAMLETT T R. New tologies from old via ideals[ J]. Amer. Math. Monthly, 1990,97:295-310.
  • 5HATIR E, KESKIN A, NOIRI T. A note on strong /3-I-sets and stronglyly /3-I-continuouse unctions [ J ]. Acta Math. Hungar,2005,108 ( 1-2 ) :87-94.
  • 6JEYANTHI V, RENUKA V, DEVI D. Subsets of ideal topological spaces [ J ]. Acta Math. Hungar, 2007,1 l g (1-2) :117 - 131.
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  • 10EKICI E, NOIRI T. * -extremally disconnected ideal topological spaces[ J]. Acta Math. Hungar,2008,78:1-10.

引证文献2

广西大学学报（自然科学版）
2008年 第1期

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