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Isomorphisms of algebras of smooth functions revisited

Janusz Grabowski
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Abstract

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.

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Janusz Grabowski. 2004-11-27. Isomorphisms of algebras of smooth functions revisited. https://arxiv.org/abs/math/0310295

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