拓扑空间中的保紧映射

Preserve compactness mapping in topological space

本文引进了保紧映射的概念,研究了与之有关的一些拓扑性质。主要定理是:对于紧Hausdorff空间,双保紧映射、完全映射与同胚等价。

In this paper, the concept of preserve compactness mapping are in-troduced, and to search some topological properties related to it. Main theorem is bi-preserve compactness mapping, perfect mapping and homeomophism are equavalent for compact Hausdorff space