theorem Th26: :: JORDAN2C:39

for n being Nat
for P being Subset of (TOP-REAL n)
for w1, w2, w3, w4 being Point of (TOP-REAL n) st w1 in P & w2 in P & w3 in P & w4 in P & LSeg (w1,w2) c= P & LSeg (w2,w3) c= P & LSeg (w3,w4) c= P holds
ex h being Function of I[01],((TOP-REAL n) | P) st
( h is continuous & w1 = h . 0 & w4 = h . 1 )