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GENERIC PROJECTIONS OF STABLE MAPPINGS

Published online by Cambridge University Press:  21 December 2000

J. W. BRUCE  and
N. P. KIRK
J. W. BRUCE
Affiliation:
Department of Pure Mathematics, The University of Liverpool, P.O. Box 147, Liverpool L69 3BX; e-mail: jwbruce@liv.ac.uk
N. P. KIRK
Affiliation:
Department of Pure Mathematics, The University of Liverpool, P.O. Box 147, Liverpool L69 3BX
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Abstract

Mather has shown that almost all linear projections of a smooth submanifold of a vector space to a subspace yield a generic mapping (so in the nice dimensions, most linear projections give rise to ‘stable’ mappings). In this paper we show that the same is true if we replace the submanifold by the image of a stable mapping.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 6 , November 2000 , pp. 718 - 728
Copyright
© The London Mathematical Society 2000

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