N t hat is smoo th ly isot opi c to the id and ca rries y into z. H omotopy and that i sotopy 23 ( For the unique case N sn the facts is simple : easily decide upon h to be the rotation which contains y into z and leaves mounted all vectors orthog­ onal to the aircraft via y and z. ) The evidence regularly proceeds as follows : we are going to first build a tender isotopy from Rn to itself which 1) leaves all issues outdoors of the unit ball mounted, and a couple of) slides the beginning to any wanted element of the open unit ball . / "" / '" c ... -V determine 7. Deforming the unit ball enable 'P : Rn ----+ R be a tender functionality which satisfies 'P (x) > zero for 'P(x) = I Ixll < 1 zero for Ilx I I � l.

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