Isomorphisms of algebras of smooth functions revisited

被引：13

作者：

Grabowski, J ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

来源：

ARCHIV DER MATHEMATIK | 2005年 / 85卷 / 02期

关键词：

Primary 46E25; 58A05; Secondary 54C40; 54D60;

D O I：

10.1007/s00013-005-1268-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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 connected nor second countable nor paracompact. This solves a problem stated by A. Weinstein. Some related results are discussed as well.

引用

页码：190 / 196

页数：7

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