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Let Nⁿ and M^m be differentiable manifolds and f,g : N → M , embeddings. f and g are equivalent iff there is a diffeomorphism H : M → M such that Hºf = g. This is a very strong relation. We Study in this paper weaker relations by using surgery. Complete informations are given in the case N = S¹ x S¹ and M = S³. In other cases, by adding some restrictions on n and m we obtain more complete results.