theorem Th48: :: BORSUK_4:51

for n being Element of NAT
for A, B being Subset of (TOP-REAL n)
for p, q being Point of (TOP-REAL n) st A is_an_arc_of p,q & B is_an_arc_of q,p & A /\ B = {p,q} & p <> q holds
I(01) ,(TOP-REAL n) | ((A \ {p}) \/ (B \ {p})) are_homeomorphic