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L-双fuzzy拓扑空间中的B-配紧性
引用本文:韩玉柏,郑崇友.L-双fuzzy拓扑空间中的B-配紧性[J].首都师范大学学报(自然科学版),1990(1).
作者姓名:韩玉柏  郑崇友
作者单位:北京师范学院数学系 (韩玉柏),北京师范学院数学系(郑崇友)
摘    要:本文以分子的远域理论为工具,在L-双fuzzy拓扑空间中引入了一种新的紧性,即B-配紧性。并对全空间的这种紧性给出了复盖式刻划,证明了B-配紧性在双强同胚映射下保持不变的性质。给出了Alexander子基定理在L-双fuzzy拓扑空间中的推广。

关 键 词:L-双fuzzy拓扑空间  诱导的L-fuzzy拓扑空间  B-配紧性

B-Pairwise Compactness in L-Bifuzzy TopologicaL Spaces
Han Yubai,Zheng Chongyou.B-Pairwise Compactness in L-Bifuzzy TopologicaL Spaces[J].Journal of Capital Normal University(Natural Science Edition),1990(1).
Authors:Han Yubai  Zheng Chongyou
Institution:Department of Mathematics
Abstract:In this paper, a new compactness called B-pairwise compactness in L-bifu-zzy topological spaces is introduced, using the theory of R-neighborhoods. Withthe concept of covering, a charaterization of B-pairwise compactness is providedfor the whole spaces. It is also proved that B-pairwise compactness is preservedunder strong bihomeomorphisms. Finally an extension of Alexander SubbasesTheorem is given in L-bifuzzy topological spaces.
Keywords:L-bifuzzy topological space  induced L-bifuzzy topological space  B-pairwise compactness  
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