While reading C.C.Pugh's "Real Mathematical Analysis" I've encountered a following statement:(adsbygoogle = window.adsbygoogle || []).push({});

"Astarlikeset [tex]U \subset \mathbb{R}^n[/tex] contains a point [tex]p[/tex] such that the line segment from each [tex]q\in U[/tex] to [tex]p[/tex] lies in [tex]U[/tex]. It is not hard to construct a diffeomorphism from [tex]U[/tex] to [tex]\mathbb{R}^n[/tex]."

It's little embarassing, but despite my best effort, I cannot figure out how to do it.

I appreciate any help.

Thanks in advance!

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# Existence of diffeomorphism

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