超距空间的紧致性及其相关性质

Compactness and Related Property of Super-distance Space

利用超距空间的基本性质及拓扑空间紧致性的相关理论,给出超距空间为紧致空间的充分且必要条件,并讨论了一些相关性质。

A sufficient and necessary condition in terms of the compactness of super-distance space is given based on the property of super-distance space and the related theory of compactness. Furthermore, some other related properties of compact super-distance space are discussed in the paper.