locally euclidean sentence in Hindi

Examples

1. Every manifold has a natural topology since it is locally Euclidean.
2. The property of being locally Euclidean is preserved by local homeomorphisms.
3. This much is a fragment of a typical locally Euclidean topological group.
4. In particular, being locally Euclidean is a topological property.
5. It is true, however, that every locally Euclidean space is T 1.
6. A "'topological manifold "'is a locally Euclidean Hausdorff space.
7. An example of a non-Hausdorff locally Euclidean space is the line with two origins.
8. The definition I follow is the " locally Euclidean " one so I allow the long line to be a manifold.
9. In the previous section, a surface is defined as a topological space with certain properties, namely Hausdorff and locally Euclidean.
10. There are also topological manifolds, i . e ., locally Euclidean spaces, which possess no differentiable structures at all.