Subject: Question Date: Tue, 16 Mar 2004 20:47:40 +0100 From: "boccellari" To: Dear prof. could you kindly post this message in your mailing list? MESSAGE 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