### Abstract

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.

Original language | English |
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Pages (from-to) | 767-783 |

Number of pages | 16 |

Journal | Proceedings of the Royal Society of Edinburgh A |

Volume | 131 |

Publication status | Published - 2001 |

## Cite this

Crabb, M. C., Bauer, S., & Spreafico, M. (2001). The Classifying Space of the Gauge Group of an SO(3)-Bundle over S

^{2}.*Proceedings of the Royal Society of Edinburgh A*,*131*, 767-783.