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Regular version of the site

Article

C∞(M) as a smooth envelope of its subalgebras

Mathematical notes. 2015. Vol. 97. No. 3. P. 489-492.

A smooth envelope of a topological algebra is introduced, and the following result is announced: the smooth envelope of a given subalgebra A in C∞(M) coincides with C∞(M) if and only if A has the same tangent bundle as M.