TITLE: explicit diffeomorphim between open simplex and open ball
QUESTION [22 upvotes]: What's a good reference e.g. textbook for the fact that the open n-ball and the open n-simplex are diffeomorphic?

REPLY [8 votes]: I'd recommend taking a look at the book by Brocker and Janich, which discusses diffeomorphisms between star-shaped domains by defining a flow along rays from the star point.  This might be an exercise in the book, rather than a theorem.  (I think I have the book on my desk at school, and I'll try to give a more precise reference tomorrow.)