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I want to ask how to show $\mathbb{R}^{n}+\mathbb{S}^{n}\cong \mathbb{R}^{n}$ as connected sums where the isomorphism is a differeomorphism between $\mathbb{R}^{n}$ and $\mathbb{R}^{n}$. The proof in Kosinski's book is not readable. Sorry if this problem is too trivial.

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    It would be helpful for answerers if you would let us know *where* your confusion is.2012-10-13
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    well. clearly the original statement is wrong.2012-10-14

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