We study self-homotopy equivalences and diffeomorphisms of the (n+1)-dimensional manifold X= #p(S1¿Sn) for any n ³ 3. Then we completely determine the group of pseudo-isotopy classes of homeomorphisms of X and extend to dimension n well-known theorems due to F. Laudenbach and V. Poenaru [10], [12] and J.M. Montesinos [14].
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