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 de...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, us an application, it is proven that the relative stable map-germs are weak finitely determined.展开更多
In this paper,we study the determinacy of real smooth map-germs and obtain severalresults about the sufficient condition and necessary condition of a special determinacy .and aboutthe exact order to determinacy.We als...In this paper,we study the determinacy of real smooth map-germs and obtain severalresults about the sufficient condition and necessary condition of a special determinacy .and aboutthe exact order to determinacy.We also obtain a result on the Zeeman's conjecture of smooth function-germs. This resultis a generalization of Siersma's lemma.展开更多
基金supported by the National Natural Science Foundation of China(No.11271063)the Guizhou Science and Technology Foundation(No.2014GZ54503)
文摘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, us an application, it is proven that the relative stable map-germs are weak finitely determined.
文摘In this paper,we study the determinacy of real smooth map-germs and obtain severalresults about the sufficient condition and necessary condition of a special determinacy .and aboutthe exact order to determinacy.We also obtain a result on the Zeeman's conjecture of smooth function-germs. This resultis a generalization of Siersma's lemma.
