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半分离空间的映射性质
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作者 陈焕然 《邵阳学院学报(自然科学版)》 2004年第3期19-21,共3页
将分离公理推广为半分离公理 ,讨论了半分离空间在同胚映射、强半开映射、弱半开映射、半开映射和弱连续映射下的有关性质 .
关键词 半分离空间 同胚映射 开映射 弱连续映射
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半分离空间的等价性定理 被引量:3
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作者 赵延孟 《海南大学学报(自然科学版)》 1994年第4期291-293,共3页
1963年,N.L,levine引进了半开集的概念 ̄[1],此后人们进行了大量的研究,定义了半分离空间 ̄[2],给出了半分离空间与分离空间的关系,本文将讨论半分离空间的几种等价性定理.
关键词 开集 半分离空间 邻域 拓扑空间
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半分离空间的等价性定理
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作者 赵延孟 《广东石油化工学院学报》 1991年第1期129-132,共4页
1963年N、L、Levine引进了半开集的概念〔1〕,此后人们进行了大量的研究定义了半分离空间〔2〕,给出了半分离空间与分离空间的关系〔3〕,本文将讨论半分,离空间的几种等价性定理。
关键词 开集 半分离空间 邻域 拓扑空间
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半T1—型空间和半T1(1/2)—型空间及其关系 被引量:1
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作者 姜文玲 陈祥平 《天津师大学报(自然科学版)》 1995年第4期8-14,共7页
关于拓朴空间的半分离空间,已有半Ti,i=0,1,2,3,4,本文在文献[1],[2]的基础上,提出半T1-空间和半T-型空间,并讨论了它们的某些性质及彼此之间的关系.
关键词 强紧集 强极限 半分离空间 拓扑空间
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A Generalization of Caristi Fixed Point Theorem 被引量:5
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作者 孙经先 《Chinese Quarterly Journal of Mathematics》 CSCD 1992年第1期72-75,共4页
Let X be a metric space with an ordering structure,A: X→X is a operator and x≤Ax for any x∈X. In this paper we prove a new fixed point theorem, which generalizes famous caristi fixed point theorem.
关键词 metric space partially ordred set fixed point theorem
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On Ws-Regular Spaces
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作者 Halgwrd Mohammed Darwesh Adil Kadir Jabbar 《Journal of Mathematics and System Science》 2012年第2期67-71,共5页
In the present, the authors investigate a new type of separation axioms, which they call it w s-regular. The authors obtained some of its basic properties and its characterizations. Also, the authors notice that the a... In the present, the authors investigate a new type of separation axioms, which they call it w s-regular. The authors obtained some of its basic properties and its characterizations. Also, the authors notice that the axiom of tO s-regularity is weaker than the regularity, stronger than s-regularity and it is independent of w -regularity. However, the authors showed that the w s-regularity and regularity are identical on the class of all locally countable spaces, while the concepts ofw s-regularity and s-regularity are same on the class of anti-locally countable spaces:; furthermore, they proved that the three concepts w s-regularity, s-regularity and w s-regularity are same on the class of extremally disconnected spaces. The authors characterized w s-regular Trspaces by g-open sets, and they proved that the w s-regularity is an open hereditary property and it is also a topologizal property. The w s-closure of subsets of topological spaces are investigated and characterized. The authors used the concepts w s-closure to obtain some characterizations of the w s-regular spaces. Behind those, the authors obtained some properties and characterizations of w -semi open sets. 展开更多
关键词 Semi-open set w -semi open set regular space s-regular space w s-regular space locally and anti locally countable space extremally disconnected space.
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