locally compact metric space

例句：

1. 1.This is a locally compact metric space, which means it has a finite number of points and can be embedded in a Euclidean space.
   这是一个局部紧致度量空间，这意味着它有有限个点，并且可以嵌入在欧几里得空间中。
2. 2. The local compactness property is crucial for the stability of the system.
   局部紧致性质对于系统的稳定性至关重要。
3. 3. In this study, we investigate the locally compact metric spaces with different dimensions.
   在本研究中，我们研究了具有不同维度的局部紧致度量空间。