We determine the set of degrees between some classes of oriented closed （n - 1）-connected 2n-manifolds by using the arithmetic theory of quadratic forms.
In this paper we give an alternative computation of integral spinor norms over dyadic local fields by using the Jordan decomposition of W-type.In particular,we emphasize the striking similarity between the theory over dyadic local fields and that over the local fields of characteristic 2.
L JianRui1 & XU Fei2,1Department of Mathematics,Jinan University,Guangzhou 510632,China
