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.
本文讨论了赋予局部有限拓扑的非空闲子集超空间的局部紧性。
In this paper the local compactness of the nonempty closed subsets hyperspaces with locally finite topology is discussed.
研究局部对称空间中具有常数量曲率的紧致超曲面，给出这类超曲面的一个拼挤定理，改进了相关作者的结论。
The paper discusses on the hypersurfaces in locally symmetric manifolds with constant scalar curvature and gets a pinching theorem which improves the known results.
应用推荐