Multiplicative bijections between algebras of differentiable functions
Differential Geometry
2011-11-09 v1
Abstract
We show that any multiplicative bijection between the algebras of differentiable functions, defined on differentiable manifolds of positive dimension, is an algebra isomorphism, given by composition with a unique diffeomorphism.
Cite
@article{arxiv.math/0606456,
title = {Multiplicative bijections between algebras of differentiable functions},
author = {J. Mrcun and P. Semrl},
journal= {arXiv preprint arXiv:math/0606456},
year = {2011}
}