theorem Th6: :: BROUWER2:6

for n being Element of NAT
for A being convex Subset of (TOP-REAL n) st A is compact & not A is boundary holds
ex h being Function of ((TOP-REAL n) | A),(Tdisk ((0. (TOP-REAL n)),1)) st
( h is being_homeomorphism & h .: (Fr A) = Sphere ((0. (TOP-REAL n)),1) )