for S, T being non empty TopSpace
for T1, T2 being SubSpace of T
for p1, p2 being Point of T
for f being Function of T1,S
for g being Function of T2,S st ([#] T1) \/ ([#] T2) = [#] T & ([#] T1) /\ ([#] T2) = {p1,p2} & T1 is compact & T2 is compact & T is T_2 & f is continuous & g is continuous & f . p1 = g . p1 & f . p2 = g . p2 holds
f +* g is continuous Function of T,S