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John Pardon
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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.

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 $\partial M\times\{0\}\to \partial M$ is contractible.

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.

edited body; added 22 characters in body
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Geoffroy Horel
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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$$\partial M\times[0,1]\to M$ inducing the identity on the boundary$\partial M\times\{0\}\to \partial M$ is contractible.

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.

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 $\partial M\times\{0\}\to \partial M$ is contractible.

added 8 characters in body
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Geoffroy Horel
  • 2.7k
  • 18
  • 22

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.

I'm looking for a reference or a proof of the following statement :

Let $M$ be a smooth manifold with boundary, the space of embeddings $\partial M\times[0,1)\to M$ inducing the identity on the boundary is contractible.

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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Geoffroy Horel
  • 2.7k
  • 18
  • 22
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