Subject: mea culpa on BU From: jnkf@math.mit.edu Date: 07 Dec 2005 23:36:03 -0500 Clarence Wilkerson and Andy Baker both point out that my mistake in thinking that the map BU_1 x BSU -> BU pulled c_i (i>1) back to 1\otimes c_i. By the product formula, it actually pulls c_i back to c_1 \otimes c_{i-1} + 1 \otimes c_i. So the splitting is compatible with the fact that mod p Steenrod operations acting on c_i typically involve a c_1 in the cohomology of BU. Also, my attribution of my error to Mike Hill was also incorrect. John