(S^(2^i))~2上光滑对合的若干性质

Smooth Involutions on(S^(2^i))~2

证明了(S^(2^i))~2上的任一个光滑非自由对合一定是具有维数为常数的不动点集F.确定dim(H*(F;Z2))=4,证明了(S^(2^i))~2上的光滑对合在等变协边的意义下是唯一的.

It is proved that any unfree smooth involution on （S^2^i）^2 certainly is the fixed point set F with constant dimension. Dim（ H ^＊（ F; Z2） ） = 4 is defined, and it is proved that the unfree smooth involution on （S^2^i）^2 is unique under condition of equivariant cobordism.