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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
.
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- Copyright © Canadian Mathematical Society 1973
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