Relations among analytic functions. II. (English) Zbl 0611.32003

This is a sequel to part I of this paper (see the review above). We reduce to semicontinuity of local invariants the problem of finding \(C^{\infty}\) solutions to systems of equations involving division and composition by analytic functions. We prove semicontinuity in several general cases: in the algebraic category, for ”regular” mappings, and for module homomorphisms over a finite mapping.


32B05 Analytic algebras and generalizations, preparation theorems
32B20 Semi-analytic sets, subanalytic sets, and generalizations


Zbl 0611.32002
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