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Let M 1 , M 2 , P {\displaystyle M_{1},M_{2},P} be differential manifolds. Two smooth maps f 1 : M 1 → P {\displaystyle f_{1}:M_{1}\to P} and f 2 : M 2 → P {\displaystyle f_{2}:M_{2}\to P} are termed cobordant if there exists a cobordism of smooth maps between them.
