Diffeomorphisms and embedded submanifolds

[osprey]

The tex-code in my post was behaving really weirdly - some parts of the code seemed to have "exchanged places", so I chose to delete what I had written. I apologize for the inconvenience...

 

[CompuChip]

It does that sometimes when using Preview.
If you post it and hit Refresh a couple of times, it usually shows up correctly :)