Subject: question for the list Date: Thu, 8 Apr 2004 11:46:45 +0100 From: "Neil Strickland" To: "Don Davis" If X is a connected space with nondegenerate basepoint, then I think the homotopy category of spaces over X should be Quillen-equivalent to the homotopy category of spaces with an action of the Moore loop space of X. One of the functors should send a space over X to its homotopy fibre. Does anyone know a reference where this is worked out in detail? I'd much prefer a topological treatment, but would settle for a simplicial one if absolutely necessary. Neil