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On classification of real singularities. (English) Zbl 0587.32018

The author introduces the notion of blow-analytic equivalence in the theory of real singularities and proves that each analytically parametrized family of isolated singularities is locally finite. In the proof he also adds the notion of blow-analytic equivalence in the theory of complex singularities and makes a comment about the validity of his theorem 1 for isolated complex singularities. The reviewer feels that a detailed discussion is necessary to extend his observation in complex spaces.
Reviewer: S.Chatterjea

MSC:

32C05 Real-analytic manifolds, real-analytic spaces
26E05 Real-analytic functions
32S05 Local complex singularities
26A30 Singular functions, Cantor functions, functions with other special properties
32C15 Complex spaces
14Pxx Real algebraic and real-analytic geometry
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References:

[1] Aroca, J.M., Hironaka, H., Vicente, J.L.: Desingularization Theorems. Memorias de Matematica de Instuto Jorge Juan, Madrid, 1977 · Zbl 0366.32009
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