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$C^\infty$-coring

We know that there the so called smooth algebras also known as $C^\infty$-rings. They can play an important role in modern treatment of differential geometry. Is there a coring analogue?
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Reference for Lie coalgebras needed

In the Wikipeadia article http://en.wikipedia.org/wiki/Lie_coalgebra on Lie coalgebras an author said: "... Just as the exterior algebra of vector fields on a manifold form a Lie algebra [...], the ...