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If $M_j,j=1,2$are smooth manifolds and we have two embeddings $i_j:M_j\to\mathbf{R}^k(j=1,2)$(with $k$ fixed). How can we construct a embedding of the connected sum $M_1\sharp M_2$ into $\mathbf{R}^k$? For definition of "connected sum", see: Section 10(pp.98) of TH.Brocker & K.Jaenich, Introduction to Differential Topology Cambridge Univ.Press. Thanks!

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