Subject: A question for the list From: Johannes Ebert Date: Wed, 25 Apr 2007 14:10:21 +0200 (CEST) Hello, I have the following question for you. I want to know explicitly the first few (co)homology groups of the spaces QS0 and QS^{-1} = \Omega QS0. I would be pleased if I knew the (co)homology up to degree 5 or 6, but I definitely need the integral homology (and not the mod p homology, which is well-known). I also like to know the effect of the Hopf map QS0 \to QS^{-1} on the (co)homology. I am sure that this is written down somewhere, but I cannot find a reference. Can someone of you help me? Best regards, Johannes Ebert