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| Weak Finite Determinacy of Relative Map-Germs |
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Citation： |
Changmei SHI,Donghe PEI.Weak Finite Determinacy of Relative Map-Germs[J].Chinese Annals of Mathematics B,2014,35(6):991~1000 |
| Page view： 1254
Net amount： 944 |
Authors： |
Changmei SHI; Donghe PEI; |
Foundation： |
the National Natural Science Foundation of China (No. 11271063) and
the Guizhou Science and Technology Foundation (No. 2014GZ54503). |
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| Abstract： |
The weak finite determinacy of relative map-germs is studied. The authors first
give the concept of weak finite determination, and then give several sufficient conditions for
a relative map-germ to be weak finitely determined, which is an important complement to
Mather’s work. Moreover, as an application, it is proven that the relative stable map-germs
are weak finitely determined. |
Keywords： |
Relative map-germs, Weak finite determinacy, Relative stability |
Classification： |
58C25, 58K40 |
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