ON CLASSIFICATION OF HIGHER ORDER IMMERSIONS OF MANIFOLDS  

作　　者：李贵松 

机构地区：[1]Institute of Systems Science,Academia Sinica,Beijing,China

出　　处：《Systems Science and Mathematical Sciences》1990年第1期16-24,共9页

摘　　要：Denote by V_f^p the set of homotopy classes of codimensiom m framings of the p thorder stable normal bundle of a map f:Mⁿ→N^v（n,p）+m.Where 3≤m=n-1 or m=n-2 butn=0,1 mod 4.We determine in this paper the set V_f^p and then the set of p-homotopyclasses of p-immersions homotopic to f for some special cases.Denote by V_f^p the set of homotopy classes of codimensiom m framings of the p thorder stable normal bundle of a map f:M^n→N^(v(n,p)+m).Where 3≤m=n-1 or m=n-2 butn=0,1 mod 4.We determine in this paper the set V_f^p and then the set of p-homotopyclasses of p-immersions homotopic to f for some special cases.

关 键 词：Higher order immersion CODIMENSION n-1 or n-2 CLASSIFICATION stable normal BUNDLE 

分 类 号：N94[自然科学总论—系统科学]