| My professor is pretending that the inclusion map i:M C Rn takes the points of definition (x1,...,xm) of a parametrization x:U -> M (where M C Rn is a manifold of dimension m and U an open set of Rm) to Rn in the following sense: if m<n and p=x(q) is a point of M then i(p)=(x1,...,xm,0,...,0) is a point of Rn. This definition gives no sense to me. But I dont dare asking him again about this. Can anyone explain the sense of this definition and how it is compatible with the definition on this site? |
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