Manifolds with Few Cells and the Stable Homotopy of Spheres
Manifolds with Few Cells and the Stable Homotopy of Spheres
Let f-.S"^-1 ->■ S" and form the complex V(f) = 5" v Sk U/+[in,ij.]en+k where it£TTt(S{) is the canonical generator and [ , ] denotes Whitehead product.The complex V(f) is a Poincare duality complex.Under the assumption that / is in the stable range we show that V(f) has the homotopy …