Subject: question for the list From: Gabriel Minian Date: Mon, 22 Aug 2005 21:05:41 -0300 I have the following question for the list: Let SX denote the reduced suspension of a pointed space X. Is there a characterization of all spaces with the property that the groups of homotopy classes of maps [S^n(X),S^n(X)]=Z for all n>=1 ? Or, at least, are there examples of such spaces besides the spheres? I think that, at least in the case that X is a finite polyhedron, by a generalization of Freudenthal suspension Thm, it suffices to ask [S^n(X),S^n(X)]=Z for n=1 and 2. Thanks. Gabriel Minian.