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ON CLASSIFICATION OF HIGHER ORDER IMMERSIONS OF MANIFOLDS

ON CLASSIFICATION OF HIGHER ORDER IMMERSIONS OF MANIFOLDS
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摘要 Denote by V<sub>f</sub><sup>p</sup> the set of homotopy classes of codimensiom m framings of the p thorder stable normal bundle of a map f:M<sup>n</sup>→N<sup>v(n,p)+m</sup>.Where 3≤m=n-1 or m=n-2 butn=0,1 mod 4.We determine in this paper the set V<sub>f</sub><sup>p</sup> 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.
作者 李贵松
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 1990年第1期16-24,共9页
关键词 Higher order immersion CODIMENSION n-1 or n-2 CLASSIFICATION stable normal BUNDLE Higher order immersion codimension n-1 or n-2 classification stable normal bundle
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