Isomorphisms of algebras of smooth functions revisited

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It is proved that isomorphisms between algebras of smooth functions on Hausdorff smooth manifolds are implemented by diffeomorphisms. It is not required that manifolds are second countable nor paracompact. This solves a problem stated by A. Wienstein. Some related results are discussed as well.
6 pages, minor changes, the final version to appear in Archiv der Mathematik

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Differential Geometry, General Topology, 46E25; 58A05; 54C40; 54D60

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http://salesiana.dossiersoluciones.com/handle/123456789/95334

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310295
 http://arxiv.org/abs/math/0310295
 Arch. Math. 85 (2005), 190-196.

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arXiv