Mathematical Proceedings of the Cambridge Philosophical Society

Combinatorial descriptions of homotopy groups of certain spaces

J. WU a1
a1 Department of Mathematics, National University of Singapore, Singapore 119260, Republic of Singapore. e-mail:


We give a combinatorial description of the homotopy groups of the suspension of a K(π, 1) and of wedges of 2-spheres. In particular, all of the homotopy groups of the 2-sphere are given as the centres of certain combinatorially described groups.

(Received September 28 1998)
(Revised November 16 1999)