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André Henriques
André Henriques
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Let $M$ and $N$ be na non-dimensional open manifoldscompact manifold, equipped with a (closed?) submanifold $N\subset M$. If we embedThe action of $N$ into$Diff(M)$ on the set of embeddings $M$, does there exist$N\hookrightarrow M$ induces a map $$ Diff(M) \rightarrow Emb(N,M). $$ Is this map a fibration (inin the sense of Hurewicz) $Diff(M) \rightarrow Emb(N,M)$? I

I am aware of the results of Palais and lately Goodwillie in the case of compact manifolds, but I have no idea about the noncompact case.

Let $M$ and $N$ be n-dimensional open manifolds. If we embed $N$ into $M$, does there exist a fibration (in the sense of Hurewicz) $Diff(M) \rightarrow Emb(N,M)$? I am aware of the results of Palais and lately Goodwillie in the case of compact manifolds, but I have no idea about the noncompact case.

Let $M$ be a non-compact manifold, equipped with a (closed?) submanifold $N\subset M$. The action of $Diff(M)$ on the set of embeddings $N\hookrightarrow M$ induces a map $$ Diff(M) \rightarrow Emb(N,M). $$ Is this map a fibration in the sense of Hurewicz?

I am aware of the results of Palais and lately Goodwillie in the case of compact manifolds, but I have no idea about the noncompact case.

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s k
s k
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The fibration overmap $Diff(M) \rightarrow Emb(N,M)$

Let $M$ and $N$ be n-dimensional open manifolds. If we embed $N$ into $M$, does there exist a fibration (in the sense of Hurewicz) over $Diff(M) \rightarrow Emb(N,M)$? I am aware of the results of Palais and lately Goodwillie in the case of compact manifolds, but I have no idea about the noncompact case.

The fibration over $Diff(M) \rightarrow Emb(N,M)$

Let $M$ and $N$ be n-dimensional open manifolds. If we embed $N$ into $M$, does there exist a fibration (in the sense of Hurewicz) over $Diff(M) \rightarrow Emb(N,M)$? I am aware of the results of Palais and lately Goodwillie in the case of compact manifolds, but I have no idea about the noncompact case.

The fibration map $Diff(M) \rightarrow Emb(N,M)$

Let $M$ and $N$ be n-dimensional open manifolds. If we embed $N$ into $M$, does there exist a fibration (in the sense of Hurewicz) $Diff(M) \rightarrow Emb(N,M)$? I am aware of the results of Palais and lately Goodwillie in the case of compact manifolds, but I have no idea about the noncompact case.

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s k
s k
  • 111
  • 3

The fibration over $Diff(M) \rightarrow Emb(N,M)$

Let $M$ and $N$ be n-dimensional open manifolds. If we embed $N$ into $M$, does there exist a fibration (in the sense of Hurewicz) over $Diff(M) \rightarrow Emb(N,M)$? I am aware of the results of Palais and lately Goodwillie in the case of compact manifolds, but I have no idea about the noncompact case.