2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104992It has long been known that a Milnor invariant with no repeated index is an invariant of link homotopy. We show that Milnor's invariants with repeated indices are invariants not only of isotopy, but also of self C_k-moves. A self C_k-move is a natural generalization of link homotopy based on certain degree k clasper surgeries, which provides a filtration of link homotopy classes.7 pages, 5 figures (low resolution)Geometric Topology57M25 (Primary) 57M27 (Secondary)text