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2n+2 SM 2n+l a e H abelian argument assume boundary Browder Browder-Novikov c2 c2n+l calculate cell closed differential manifold combinatorial equivalence combinatorial manifold complex construct copies curve D2n x Sl denote diffeomorphic differentiable imbedding differential structure divisible by t-l element elementary ideal Essential f(S2n_l fact finite follows fundamental given hence homotopy type identified identity imbed imbedded sphere inclusion induced infinite integer intersection coefficient intersection number intersection point inverse image isomorphic knot Lemma on normal M2n+l modification module normal bundle normal field normal vector field Novikov obtained obvious permutation Poincare duality pole presentation for H proof proved pushed relation matrix rely represented Robertello's S2n+l shows similar simply-connected Smale theory space spherical top homology surjective suspension symmetric tangent bundle theorem top homology class transversally trivial tubular usual values Y,bY Z[J]-module