Article contents
Rigid and Finitely V-Determined Germs of C∞-Mappings
Published online by Cambridge University Press: 20 November 2018
Extract
Let (respectively ) denote the ring of germs at 0 ∈ Rn of all C∞ functions (respectively Cμ functions) from Rn to R. For a given where is the space of all germs of C∞ mappings Rn → Rp, let J(φ) denote the ideal in generated by φ1, … , φp and the Jacobian determinants
where Let
Clearly, is an ideal in and where is the (unique) maximal ideal of .
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1973
References
- 3
- Cited by