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New proofs of some theorems on infinitely differentiable functions
Published online by Cambridge University Press: 17 April 2009
Extract
New proofs are given for the splitting lemma and two of Mather's theorems in the theory of C∞-functions. They use a Taylor series approach rather than the usual map-germ theory and are more elementary than previous proofs. A geometric characterisation of a class of degenerate functions is proved to hold in this account but not in the usual framework.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 17 , Issue 2 , October 1977 , pp. 161 - 175
- Copyright
- Copyright © Australian Mathematical Society 1977
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