局部Seq紧空间

Locally Seq-Compact Space

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。

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.