2 7 N ov 2 00 4 Isomorphisms of algebras of smooth functions revisited ∗
نویسنده
چکیده
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 connected nor second countable nor paracompact. This solves a problem stated by A. Weinstein. Some related results are discussed as well.
منابع مشابه
ar X iv : m at h / 03 10 29 5 v 1 [ m at h . D G ] 1 8 O ct 2 00 3 Isomorphisms of algebras of smooth functions revisited ∗
A short proof of the fact that isomorphisms between algebras of smooth functions on Hausdorff smooth manifolds are implemented by diffeomorphisms is given. It is not required that manifolds are second countable or paracompact. This solves a problem stated by A. Wienstein. Some related results are discussed as well.
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تاریخ انتشار 2005