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.
How to show $\mathbb{R}^{n}+\mathbb{S}^{n}=\mathbb{R}^{n}$?
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differential-topology
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0It would be helpful for answerers if you would let us know *where* your confusion is. – 2012-10-13
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0well. clearly the original statement is wrong. – 2012-10-14