Isomorphisms of algebras of smooth functions revisited
classification
🧮 math.DG
math.GN
keywords
smoothalgebrasfunctionsisomorphismsmanifoldscountablediffeomorphismsdiscussed
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.