Manuscript XV-E@1 · XV-E.tex · definition · a3dc45f5

Definition: Three kinds of null relation

Descending extensions in the punctured normal-jet module › Classification of null relations · lines 655–666

XV-E@1#def:kinds

Let $a \in H$ . Call $a$

universal if $β_{γ} (a) = 0$ in $C^{\infty} (X)$ for all $∣ γ ∣ \leq r$ ;
a flat-annihilator relation if each $β_{γ} (a)$ is flat on $Z$ , i.e. all its derivatives vanish at every point of $Z$ ;
jet-detected otherwise.

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