- 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.
Injective Immersion Vs Embedding
-
- Community Team
- Posts: 314
- Joined: Tue Nov 10, 2015 8:25 pm
Injective Immersion Vs Embedding
Create an account or sign in to join the discussion
You need to be a member in order to post a reply
Create an account
Not a member? register to join our community
Members can start their own topics & subscribe to topics
It’s free and only takes a minute
Sign in
Who is online
Users browsing this forum: No registered users and 1 guest