Injective Immersion Vs Embedding
Posted: Fri Jul 22, 2016 7:48 pm
- Show that a closed, injective, continuous map is a (topological) embedding.
- Give an example to show that an injective immersion can fail to be an embedding.
- Show that an injective immersion $ F \ \colon M \longrightarrow N $ (between smooth manifolds) is a (smooth) embedding if either $M$ is compact or $F$ is a proper map.