Hi I appreciate your suggestions about the following problem:
A high dimensional homotopy groups can be constructed by defining
Pi_r(X, x_o) as Pi(D^r, dD^r :X,x_o)
Establish natural bijections:
Pi(I^r, dI^r :X,x_o)-->Pi(D^r ,dD^r :X,x_o)-->Pi(S^r,(1,0...0):X,x_0).
Thanks
Mike