Let f1, …, fk: M → N be maps between closed manifolds, N(f1, …, fk ) and R(f1, …, fk ) be the Nielsen and the Reideimeister coincidence numbers, respectively. In this note, we relate R(f1, …, fk ) wit..

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Let f1, …, fk: M → N be maps between closed manifolds, N(f1, …, fk ) and R(f1, …, fk ) be the Nielsen and the Reideimeister coincidence numbers, respectively. In this note, we relate R(f1, …, fk ) with R(f1, f2 ), …, R(f1, fk ). When N is a torus or a nilmanifold, we compute R(f1, …, fk ) which, in these cases, is equal to N(f1, …, fk ).

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