| L-双拓扑空间中的B-配仿紧性 |
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| 引用本文： | 刘红平,孟广武,罗娟.L-双拓扑空间中的B-配仿紧性[J].四川师范大学学报(自然科学版),2010,33(2). |
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| 作者姓名： | 刘红平 孟广武 罗娟 |
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| 作者单位： | 1. 聊城大学,数学科学学院,山东,聊城,252059
2. 平顶山学院,数学与信息科学学院,河南,平顶山,467000 |
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| 基金项目： | 教育部科学技术研究基金，山东省软科学基金 |
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| 摘 要： | 在L-双拓扑空间中引入B-配仿紧性,证明这种仿紧性是B-配紧性的推广,并且具有一些好的性质.比如,对双闭子集遗传,在双强同胚映射下保持不变,在一定条件下B-配紧集与B-配仿紧集的乘积是B-配仿紧集,同时证明了B-配仿紧的双T2-空间既是双正则空间也是配正则空间.
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| 关 键 词： | L-双拓扑空间 强局部有限 B-配仿紧性 弱诱导空间 配正则 |
B-coparacompactness in L-bitopological Spaces |
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| LIU Hong-ping,MENG Guang-wu,LUO Juan.B-coparacompactness in L-bitopological Spaces[J].Journal of Sichuan Normal University(Natural Science),2010,33(2). |
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| Authors: | LIU Hong-ping MENG Guang-wu LUO Juan |
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| Institution: | LIU Hong-ping1,MENG Guang-wu1,LUO Juan2(1.School of Mathematics Science,Liaocheng University,Liaocheng 252059,Sh,ong,2.School of Mathematics , Information Science,Pingdingshan College,Pingdingshan 467000,Henan) |
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| Abstract: | In this paper,B-coparacompactness is introduced in L-bitopological spaces.it is shown that B-coparacompactness is a extension of B-cocompactness,and it has some good properties.For instance,it is hereditary with respect to biclosed subsets and preserved under strong bihomeomorphisms.Under some specifical conditions,the Cartesian product of a B-cocompact set and a coparacompact set is a coparacompact set.It is also proved that a coparacompact bi-T2 space is both a bi-regular space and a coregular space. |
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| Keywords: | L-bitopological space locally finite B-coparacompactness weakly-induced space coregular |
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