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Rigid and Finitely V-Determined Germs of C∞-Mappings

Published online by Cambridge University Press:  20 November 2018

Jacek Bochnak  and
Tzee-Char Kuo
Jacek Bochnak
Affiliation:
Université de Paris, 91-Orsay, France
Tzee-Char Kuo
Affiliation:
Institut des Hautes Études Scientifiques, 91-Bures-sur-Yvette, France
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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
Canadian Journal of Mathematics , Volume 25 , Issue 4 , August 1973 , pp. 727 - 732
Copyright
Copyright © Canadian Mathematical Society 1973

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