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The object of this work is to prove the following Theorem of Rohlin: "Let M" be a compact oriented differentiable 4-manifold with Stiefel-Whitney class w₂ equal to zero. Then the signature I(M⁴) is congruent to zero modulo 16", and also, the Theorem of Kervaire and Milnor: "Let M* be a compact oriented differentiable 4-manifold. Let ξ ε H² (M,Z) be dual to the Stiefel-Whitney classe w₂(M). If ξ is represented by a differentiably imbedded 2-sphere in M then, the self-intersection number ξ.ξ must be congruent to I(M) modulo 16". Applications and examples is show in the last chapter of this work.