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(Very) Minor Math Jaxing and typo fixing (added question marks)
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Daniele Tampieri
Daniele Tampieri
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Let $M$ be aa compact orientable $n$ dimensional manifold. Assume that $M$ has trivial cobordism class. 
Is there an embedding of $M$ in some Euclidean space $\mathbb{R}^m$ such that the convex hull of $M$ is a $n+1$ dimensional manifold whose boundary is $M$.?

Here the image of $M$ under the embedding is denoted again by $M$.

Note: One can pose the same question in the following geometric manner:

Let M$M$ be a compacta compact Riemannian manifold with trivial cobordism class. Is there an isometric embedding of $M$ in some Euclidean space such that the convex hull of $M$ is a manifold whose boundary is $M$.?

Let $M$ be a compact orientable $n$ dimensional manifold. Assume that $M$ has trivial cobordism class. Is there an embedding of $M$ in some Euclidean space $\mathbb{R}^m$ such that the convex hull of $M$ is a $n+1$ dimensional manifold whose boundary is $M$.

Here the image of $M$ under the embedding is denoted again by $M$.

Note: One can pose the same question in the following geometric manner:

Let M be a compact Riemannian manifold with trivial cobordism class. Is there an isometric embedding of $M$ in some Euclidean space such that the convex hull of $M$ is a manifold whose boundary is $M$.

Let $M$ be a compact orientable $n$ dimensional manifold. Assume that $M$ has trivial cobordism class. 
Is there an embedding of $M$ in some Euclidean space $\mathbb{R}^m$ such that the convex hull of $M$ is a $n+1$ dimensional manifold whose boundary is $M$?

Here the image of $M$ under the embedding is denoted again by $M$.

Note: One can pose the same question in the following geometric manner:

Let $M$ be a compact Riemannian manifold with trivial cobordism class. Is there an isometric embedding of $M$ in some Euclidean space such that the convex hull of $M$ is a manifold whose boundary is $M$?

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Ali Taghavi
Ali Taghavi
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Let $M$ be a compact orientable $n$ dimensional manifold. Assume that $M$ has trivial cobordism class. Is there an embedding of $M$ in some Euclidean space $\mathbb{R}^m$ such that the convex hull of $M$ is a $n+1$ dimensional manifold whose boundary is $M$.

Here the image of $M$ under the embedding is denoted again by $M$.

Note: One can pose the same question in the following geometric manner:

Let M be a compact Riemannian manifold with trivial cobordism class. Is there an isometric embedding of $M$ in some Euclidean space such that the convex hull of $M$ is a manifold whose boundary is $M$.

Let $M$ be a compact orientable $n$ dimensional manifold. Assume that $M$ has trivial cobordism class. Is there an embedding of $M$ in some Euclidean space $\mathbb{R}^m$ such that the convex hull of $M$ is a $n+1$ dimensional manifold whose boundary is $M$.

Here the image of $M$ under the embedding is denoted again by $M$.

Let $M$ be a compact orientable $n$ dimensional manifold. Assume that $M$ has trivial cobordism class. Is there an embedding of $M$ in some Euclidean space $\mathbb{R}^m$ such that the convex hull of $M$ is a $n+1$ dimensional manifold whose boundary is $M$.

Here the image of $M$ under the embedding is denoted again by $M$.

Note: One can pose the same question in the following geometric manner:

Let M be a compact Riemannian manifold with trivial cobordism class. Is there an isometric embedding of $M$ in some Euclidean space such that the convex hull of $M$ is a manifold whose boundary is $M$.

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Ali Taghavi
Ali Taghavi
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The convex hull of a manifold whose cobordism class is trivial

Let $M$ be a compact orientable $n$ dimensional manifold. Assume that $M$ has trivial cobordism class. Is there an embedding of $M$ in some Euclidean space $\mathbb{R}^m$ such that the convex hull of $M$ is a $n+1$ dimensional manifold whose boundary is $M$.

Here the image of $M$ under the embedding is denoted again by $M$.