SOME HOMOTOPY GROUPS OF THE MOD 4 MOORE SPACE

摘要

Let M~n be a Moore space of type (Z_4,n-1).We calculate the homotopy groups pi_2n-k(M~n) in the range k=3,4 and n<= 24.The methods are based on Toda's composition methods and we use Gray's cellular structure of the homotopy fiber of the pinching map from M~n to an n-sphere S~n and also use James'exact sequence including a relative homotopy group pi_*(M~n,S~n-1).