再论光滑函数代数的同构
Isomorphisms of algebras of smooth functions revisited
摘要：
证明了Hausdorff光滑流形上的光滑函数的代数之间的同构是通过同构实现的。它不要求流形是第二可数的或仿紧的。这就解决了A提出的一个问题。温斯坦并对相关结果进行了讨论。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
