Isomorphisms of algebras of smooth functions revisited

Details Isomorphisms of algebras of smooth functions revisited Isomorphisms of algebras of smooth functions revisited

2003-10-18

arxiv.org/abs/math/0310295v3

Arch. Math. 85 (2005), 190-196.

Mathematics

Differential Geometry

6 pages, minor changes, the final version to appear in Archiv der Mathematik

Scientific paper

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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