As we have seen in the last problem, we can identify a compact smooth manifold with . Give a similar identification between the tangent bundle and .

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# “Representability” II

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As we have seen in the last problem, we can identify a compact smooth manifold with . Give a similar identification between the tangent bundle and .

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We know that is identified with the set of -linear derivations . Now, to identify derivations with -algebra morphisms just consider, for any derivation the map . Conversely, given a map consider the term that is with and notice that it is a derivation. This two maps are the inverse of each other.

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