Rigid and Finitely V-Determined Germs of C∞-Mappings
- 1 August 1973
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 25 (4) , 727-732
- https://doi.org/10.4153/cjm-1973-074-x
Abstract
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 .Keywords
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