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Extension theorems for smooth functions on real analytic spaces and quotients by Lie groups and smooth stability

Published online by Cambridge University Press:  09 April 2009

G. S. Wells
G. S. Wells
Affiliation:
Department of Mathematics, University of Witwatersrand, Johannesburg, South Africa.
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Abstract

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Extension theorems are proved for smooth functions on a coherent real analytic space for which local defining functions exist which are finitely determined in the sense of J. Mather, (1968), and for smooth functions invariant under the action of a compact lie group G. thus providing the main step in the proof that smooth infinitesimal stability implies smooth stability in the appropriate categories. In addition the remaining step for the category of CxG-manifolds of finite orbit type is filled in.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 24 , Issue 4 , December 1977 , pp. 440 - 457
Copyright
Copyright © Australian Mathematical Society 1977

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