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I'm looking for a reference or a proof of the following statement : Let $M$ be a compact smooth manifold with boundary, . Then the space of embeddings $\partial M\times[0,1]\to M$ inducing the identity $\partial M\times{0}\to \partial M$ is contractible. |
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I'm looking for a reference or a proof of the following statement : Let $M$ be a compact smooth manifold with boundary, the space of embeddings $\partial M\times[0,1)\to M\times[0,1]\to M$ inducing the identity on the boundary $\partial M\times{0}\to \partial M$ is contractible. |
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2 | added 8 characters in body | ||
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I'm looking for a reference or a proof of the following statement : Let $M$ be a compact smooth manifold with boundary, the space of embeddings $\partial M\times[0,1)\to M$ inducing the identity on the boundary is contractible. |
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