映射芽导网的相对V-充分性Relative V-sufficiency of jets of map-germs
石昌梅
摘要(Abstract):
基于T.C.Kuo关于导网的V-充分性的研究,考虑零点集包含一个给定无边子流形的映射芽,定义了这类映射芽导网的相对V-充分性,并刻画了导网的相对V-充分性。
关键词(KeyWords): 映射芽;导网;相对V-充分性
基金项目(Foundation): 贵州师范学院科研基金资助项目(2010YB14)
作者(Author): 石昌梅
DOI: 10.13391/j.cnki.issn.1674-7798.2013.06.001
参考文献(References):
- [1]N.H.Kuiper and T.C.Kuo.C1-equivalent of functionsnear isolated critical points[J].Proc.Symp.Infinite Di-mensional Topology,Baton Rougee,LA,1967,Ann.ofMath.Studies,1967:199-218.
- [2]T.C.Kuo.On C0-sufficiency of jets of potential func-tions[J].Topology,8(1969):167-171.
- [3]T.C.Kuo.Characterization of V-sufficiency of jets[J].Topology,11(1972):115-131.
- [4]J.Bochnak and S.Lojasiewicz.A converse of the Kuiper-Kuo Theorem[J].Lecture Notes in Mathematics,192(1971):254-261.
- [5]H.Brodersen.Sufficiency of jets with respect to L-equiv-alence[J].Real and algebraic singularities,Pitman Re-search Notes in Mthematics Series,381(1988):78-83.
- [6]H.brodersen.Sufficiency of jets with line singularities[J].Bull.London Math.Soc.,41(2009):445-457.