论文标题

QFS空间及其属性

QFS-space and its properties

论文作者

Wang, Wu

论文摘要

在本文中,介绍了准最终分离图和准磷型身份的概念。基于这些概念,定义了QFS空间和准确的图。探索了QFS空间的属性和特征。主要结果是:(1)每个QFS空间是准确的空间; (2)封闭的子空间,QFS空间的准确投影空间是QFS空间; (3)QFS空间的连续缩回是QFS空间,构建了QFS空间的一种缩回; (4)连续QFS空间的上力空间是FS空间。

In this paper, the concept of quasi-finitely separating map and quasiapproximate identity are introduced. Based on these concepts, QFS-spaces and quasicontinuous maps are defined. Properties and characterizations of QFS-spaces are explored. Main results are: (1) Each QFS-space is quasicontinuous space; (2) Closed subspaces, quasicontinuous projection spaces of QFS-spaces are QFS-spaces; (3) Continuous retracts of QFS-spaces are QFS-spaces and a kind of retracts of QFS-spaces are constructed; (4) Upper powerspaces of continuous QFS-spaces are FS-spaces.

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