You might also post your quesiton to the category analog of Don's list: Date: Tue, 16 Mar 2004 15:58:18 -0500 From: Don Davis <dmd1@lehigh.edu> Subject: 2 questions Two postings, both questions. Also, I announce that Martin Bendersky and I have organized a special session in homotopy theory at the AMS meeting in Lawrenceville, NJ, on April 17-18. This session, and several others, honor Bill Browder on his 70th birthday. There will be a banquet in his honor. The program of this special session can be found at http://www.ams.org/amsmtgs/2102_program_ss3.html#title or on the conference page of this discussion group, http://www.lehigh.edu/~dmd1/conf.html...........DMD ____________________________________________________________ Subject: Question for the discussion list. Date: Tue, 16 Mar 2004 09:31:11 -0800 (PST) From: Keir Lockridge <lockridg@math.washington.edu> Is the full subcategory of finite objects in the stable category equivalent, as a triangulated category, to a full subcategory of the derived category of an abelian category? Can the abelian category be chosen to be symmetric monoidal and so that S^0 corresponds to a resolution of the unit object? Keir Lockridge University of Washington Department of Mathematics lockridg@math.washington.edu ___________________________________________________ Subject: Question Date: Tue, 16 Mar 2004 20:47:40 +0100 From: "boccellari" <boccellari@inwind.it> I am looking for any kind of result concerning the following question. Consider a space X and an element x \in H^*(X;Z_2). Take M(X,K;x) path component of x in the space of maps M(X,K) where K is a suitable generalized Eilenberg-MacLane space. Question: Is the evaluation map ev : M(X,K;x) \times X \rightarrow K either a fibration or a cofibration? What about it when X is a Thom space, x its thom class and K = K(Z_2,n)? Thank you for your help. Yours faithfully Tommaso Boccellari