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Cr [Kscr ]-versality of the graph deformation of a Cr stable map-germ

Published online by Cambridge University Press:  01 July 1999

TAKASHI NISHIMURA
TAKASHI NISHIMURA
Affiliation:
Department of Mathematics, Faculty of Education and Human Sciences, Yokohama National University, Yokohama 240-8501, Japan; e-mail: takashi@edhs.ynu.ac.jp
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Abstract

In his celebrated paper [7], Martinet showed the equivalence between the infinitesimal versality and the versality for [Ascr ]- and [Kscr ]-morphisms. By using this theorem, he obtained the following Theorem 1·1 which played one of the key roles for the classification of C∞ stable map-germs ([1, 7]).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 127 , Issue 1 , July 1999 , pp. 93 - 97
Copyright
The Cambridge Philosophical Society 1999

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