Peter W. Michor, Ji\v{r}\'\i{}{} Van\v{z}ura
Characterizing algebras of $C^\infty $-functions on manifolds

Comment.Math.Univ.Carolinae 37,3 (1996) 519-521.

Abstract:Among all $C^\infty $-algebras we characterize those which are algebras of $C^\infty $-functions on second countable Hausdorff $C^\infty $-manifolds.

Keywords: $C^\infty $-algebra, smooth manifold
AMS Subject Classification: 46J20, 51K10, 58A03, 58A05

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