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邻域空间的仿邻域紧性与局部仿邻域紧性
引用本文:周生田. 邻域空间的仿邻域紧性与局部仿邻域紧性[J]. 中国石油大学学报(自然科学版), 1993, 0(3)
作者姓名:周生田
作者单位:石油大学数理系
摘    要:引入邻域空间的仿邻域紧性租局部仿邻域紧性的概念.推广了邻域紧性和统一处理拓朴空间的仿H-闭性及仿S—闭性等;同时讨论了仿邻域紧空间的性质及在映象下的保持性问题。最后,又对邻域空间的局部邻域紧性与局部仿邻域紧性进行了讨论.得出一些满意的结果.

关 键 词:邻域空间  仿邻域紧空间  映射  加细

PARA-NEIGHBORHOOD COMPACTNESS AND LOCALLY PARA-NEIGHBORHOOD COMPACTNESS OF NEIGHBORHOOD SPACES
Zhou Shengtian. PARA-NEIGHBORHOOD COMPACTNESS AND LOCALLY PARA-NEIGHBORHOOD COMPACTNESS OF NEIGHBORHOOD SPACES[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1993, 0(3)
Authors:Zhou Shengtian
Affiliation:University of Petroleum. Dongying. China 257062
Abstract:In this paper, the concepts of para-neighborhood compactness and locally para-neighborhood compactness of neighborhood spaces are defined. Neighborhood compactness is extended and para-H-closed and para-s-closed of topological space are dealt with in a unified pattern. The property of para-neighborhood compact space and preservation under mappings are discussed.
Keywords:Neighborhood: Para-neighborhood compact space  Map: Refine
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