T1: An unlinked two hole torus .

T2: A linked two hole torus.

Fact: A. T1 and T2 are topologically equivalent
by a cut and paste demonstration.

B. T1 and T2 are topologically equivalent by a homotopy
equivalence. A rubber sheet transformation of T1 to T2 : H(t) for
t in [0,1] in which at each stage H(t) is topologically equivalent to T1.