theorem Th43: :: JGRAPH_5:43

for P being non empty compact Subset of (TOP-REAL 2) st P = { p where p is Point of (TOP-REAL 2) : |.p.| = 1 } holds
ex f being Function of I[01],((TOP-REAL 2) | (Upper_Arc P)) st
( f is being_homeomorphism & ( for q1, q2 being Point of (TOP-REAL 2)
for r1, r2 being Real st f . r1 = q1 & f . r2 = q2 & r1 in [.0,1.] & r2 in [.0,1.] holds
( r1 < r2 iff q1 `1 < q2 `1 ) ) & f . 0 = W-min P & f . 1 = E-max P )