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局部Seq紧空间
引用本文:黄琴.局部Seq紧空间[J].莆田高等专科学校学报,2008(5):7-10.
作者姓名:黄琴
作者单位:莆田学院数学与应用数学系,福建莆田351100
基金项目:国家自然科学基金资助项目(10571151);福建省教育厅基金资助项目(JB07150);莆田学院资助项目(2006Q002,JG2006040)
摘    要:给出局部Seq紧空间的定义,研究它的刻画与基本性质,证明局部Seq紧性是闭遗传的,是拓扑不变的且被连续开映射及序列完备映射保持;并且讨论T2空间及正则空间中的局部Seq紧性。

关 键 词:序列开集  局部Seq紧性  T2  正则空间

Locally Seq-Compact Space
HUANG Qin.Locally Seq-Compact Space[J].Journal of Putian College,2008(5):7-10.
Authors:HUANG Qin
Institution:HUANG Qin ( Mathematics & Applied of Mathematics Department, Putian University, Putain Fujian 351100, China )
Abstract:In this paper, we give the definitions of locally Seq-compact space, study its characterizations and basic properties and prove that they are closed hereditary, topological invariance property and preserved by open-continuous mapping or sequentially perfect mapping. What's more, we discuss the locally Seq-compactness in T2 and regular space.
Keywords:sequentially open set  locally Seq-eompactness  T2  regular space
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