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→Motivation: <math>Diff</math> -> <math>\text{Diff}</math> |
→Motivation: <math>Diff</math> -> <math>\text{Diff}</math> (again) |
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that for ordinary (commutative) manifolds, the connected component of the identity in <math>\text{Diff}(\mathcal{M})</math> is always a simple group, therefore no ordinary manifold can have this semi-direct product structure.
It is nevertheless possible to find such a space by enlarging the notion of space.
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