Subject: Re: one posting, a question From: "Dr A. J. Baker" Date: Tue, 30 Nov 2004 09:40:05 -0000 (GMT) To: Both Steenrod (Cohomology Operations) and Cartan & Eilenberg (Homological Algebra) discuss this since it amounts to the cohomoilogy of the group C_2 with coefficients in these C_2-modules. Andy >> One posting: I would have handled this elementary >> question myself, but was not sure about a reference >> for nontrivial local coefficients. Does anyone know >> a reference that would handle this entire question...DMD >> _________________________________________________________ >> >> Subject: Question for the list! >> From: Xu an Zhao >> Date: Thu, 25 Nov 2004 09:56:06 +0800 (CST) >> >> Could you please post the following question on the >> topology list? >> >> Let $X=RP^{\infity}$ is the infinity dimensional real >> projective space, what is the cohomology of >> $H^*(X,Z)$ and $H^*(X,Z_q)$, especially how to compute >> their multiplications strcture, where $Z,Z_q$ is the >> Local coefficient on $X$(trivial or nontrival) and >> $q=p^r$ for odd prime number $p$. >> >> >> Best regards >> >> Zhao Xu an ~~~~~~~~~~~~~~~~~~~~~~~~~ Dr A. J. Baker Department of Mathematics University of Glasgow Glasgow G12 8QW Scotland phone (0141) 330 6140 fax (0141) 330 4111 a.baker@maths.gla.ac.uk http://www.maths.gla.ac.uk/~ajb/