Subject: question for about spectra for the list From: "John R. Klein" Date: Sun, 3 Jul 2005 18:01:29 -0400 Suppose E is an (omega) spectrum such that the mapping spectrum maps(E,E) has the weak homotopy type of a sphere. Question: Is E necessarily a sphere? It's easy to see that the answer is "yes" whenever E is homotopy finite. j. -- John R. Klein, Professor Department of Mathematics Wayne State University Room 1213 FAB, 656 W. Kirby voice: (313) 577-3174