On isomorphisms of algebras of smooth functions-Reference-Cited by-同舟云学术

On isomorphisms of algebras of smooth functions

Published:2005-04-08 Issue:10 Volume:133 Page:3109-3113
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Mrčun Janez

Abstract

We show that for any smooth Hausdorff manifolds M M and N N , which are not necessarily second-countable, paracompact or connected, any isomorphism from the algebra of smooth (real or complex) functions on N N to the algebra of smooth functions on M M is given by composition with a unique diffeomorphism from M M to N N . An analogous result holds true for isomorphisms of algebras of smooth functions with compact support.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2005-133-10/S0002-9939-05-07979-7/S0002-9939-05-07979-7.pdf

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