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Nice dimensions for
the I0 equivalence relation of diagrams of
map germs
Isao Nakai |
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Vol. 147 (1991), No. 2, 325–353
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Abstract |
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In this paper we give geometric characterisations for finite determinacy with respect to the various equivalence relations for convergent diagrams of smooth map germs. Using those results and known results on nice as well as semi-nice dimensions for smooth mappings due to Mather and Wall, we determine nice dimensions for some diagrams of smooth map germs. For manifolds with nice dimension finite I0 determinacy holds in general for diagrams of map germs and topological stability holds in general in the space of diagrams of proper smooth mappings. |
Mathematical Subject Classification
Primary: 58C27
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Milestones
Received: 30 November 1988
Published: 1 February 1991
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Authors |
| Isao Nakai | |
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