Abstract
In his stability theorem on unfoldings of germs of C∞-functions G. Wassermann has proved the equivalence of several properties of an unfolding, e. g. “infinitesimally stable” and “universal”. This paper which is close to his work adds another equivalent property. Two examples show that this property can also be considered in the context of other stability theorems.
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Literatur
TOUGERON, J. C.: Idéaux de fonctions différentiables. Erge bnisse der Mathematik und ihrer Grenzgebiete 71. Berlin-Heidelberg-New York: Springer 1972
WASSERMANN, G.: Stability of Unfoldings. Lecture Notes in Mathematics 393. Berlin-Heidelberg-New York: Springer 1974.
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Scheerer, H. Eine Bemerkung zur Stabilitat von Entfaltungen. Manuscripta Math 13, 101–108 (1974). https://doi.org/10.1007/BF01168746
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DOI: https://doi.org/10.1007/BF01168746