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On isomorphisms of algebras of smooth functions |
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| Authors: | Janez Mrcun |
| Affiliation: | Department of Mathematics, University of Ljubljana, Jadranska 19, 1000 Ljubljana, Slovenia |
| Abstract: | We show that for any smooth Hausdorff manifolds  and  , which are not necessarily second-countable, paracompact or connected, any isomorphism from the algebra of smooth (real or complex) functions on  to the algebra of smooth functions on  is given by composition with a unique diffeomorphism from  to  . An analogous result holds true for isomorphisms of algebras of smooth functions with compact support. |
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