Isomorphisms of algebras of smooth functions revisited
Differential Geometry
2007-05-23 v3 General Topology
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.
Cite
@article{arxiv.math/0310295,
title = {Isomorphisms of algebras of smooth functions revisited},
author = {Janusz Grabowski},
journal= {arXiv preprint arXiv:math/0310295},
year = {2007}
}
Comments
6 pages, minor changes, the final version to appear in Archiv der Mathematik