Weak Finite Determinacy of Relative Map-Germs |
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| Authors: | Changmei SHI and Donghe PEI |
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| Affiliation: | 1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China;School of Mathematics and Computer Science, Guizhou Normal College, Guiyang 550018, China
2. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024,China |
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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. |
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| Keywords: | Relative map-germs Weak finite determinacy Relative stability |
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