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Pre-weighted homogeneous map germs—Finite determinacy and topological triviality

Published online by Cambridge University Press:  22 January 2016

Marcelo Jose Saia
Marcelo Jose Saia*
Affiliation:
I.G.C.E.-UNESP, Campus de Rio Claro, C.P.178, R. Claro, S. P. Brasil, 13500-230, [email protected]
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Abstract.

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In this paper we introduce the notion of G-pre-weighted homogeneous map germ, (G is one of Mather’s groups A or K) and show that any G-pre-weight ed homogeneous map germ is G-finitely determined. We also give an explicit “order”, based on the Newton polyhedron of a pre-weighted homogeneous germ of function, such that the topological structure is preserved after perturbations by terms of higher order.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 151 , September 1998 , pp. 209 - 220
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1998

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