Subject: Question Date: Thu, 5 Jul 2001 13:44:40 -0400 (EDT) From: Adam Sikora To: Don Davis Dear Don Davis, could you post the following question? Thank you. Best Regards, Adam Sikora Let G be a finite group, let X be a G-CW-complex and let C*(X) be the complex of cellular cochains with Z coefficients. It is easy to prove that the G-invariant part of C*(X), C*_G(X), is isomorphic to C*(X/G). (For free G actions this means that "trivial local coefficients= trivial coefficients"). Let now X be a compact space and C*(X) be the cochain complex either for singular or Alexander-Spanier cohomology. Is it still true that if a finite group G acts on X then C*_G(X)=C*(X/G)? (This is true for free G actions). Adam Sikora