metric space sentence in Hindi

Examples

1. Recall that a continuum is a nonempty connected compact metric space.
2. The open balls of a metric space are a unions of open balls.
3. So, S must be infinite or the metric space is trivial.
4. In order to prove this theorem Gromov introduced a convergence for metric spaces.
5. A large class of spaces satisfying the countable first axiom are metric spaces.
6. A set with a metric is called a metric space.
7. There are, however, topological spaces that are not metric spaces.
8. One can generalize the notion of energy distance to probability distributions on metric spaces.
9. The Baire category theorem says that every complete metric space is a Baire space.
10. Paracompact manifolds have all the topological properties of metric spaces.