A plane removes several points, for example, here P1, P2, P3. Loop 1 and Loop 2 are freely homotopic(or called homotopic if have same base point). Loops 3 are not homotopic with loop 1 and 2, but it also encircle point P1 and P2, like loop 1 and loop 2. Is there a specific name for this kind of loops (here loop 1 and loop3) that encircle same points?
