About neighborhood of zero

mclove

1. The problem statement, all variables and given/known data

If U[tex]\subset R[/tex] ^K and V [tex]\subset H[/tex] ^Kis nbd of zero, prove that there exists no diffeomorphism of V and U

- What is nbd of zero in H^K ??
(I think V is upper circle (not boudary) with x-axis ..)
pleas help me!