Stable homotopy decompositions of the classifying spaces of the gauge groups of principal SO(3) and U(2)-bundles over the sphere S-2 are obtained using a fibrewise stable splitting theorem for the loop space of an unreduced suspension. The stable decomposition is related to a description of the integral cohomology ring.
|Number of pages||16|
|Journal||Proceedings of the Royal Society of Edinburgh A|
|Publication status||Published - 2001|