New answers tagged manifolds-with-boundary
4
votes
Accepted
homeomorphism between topological manifolds. Invariance of domain.
The definition of boundary point is incomplete. You need the homeomorphism between the neighborhood of $p$ and the open set of $\mathbb{H}^n$ to map $p$ to a point of $\partial\mathbb{H}^n$. Otherwise,...
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2
votes
Accepted
Concernings about proof of Stokes Theorem
This is a combination of the general property $(fg)^{\ast}=g^{\ast}f^{\ast}$ of pullbacks and some notational sleight of hand. Indeed, when writing $\tilde{\iota}^{\ast}((\varphi^{-1})^{\ast}\omega)$, ...
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