### 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 |
---|---|

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

^{2}.

*Proceedings of the Royal Society of Edinburgh A*,

*131*, 767-783.

**The Classifying Space of the Gauge Group of an SO(3)-Bundle over S ^{2}.** / Crabb, Michael Charles; Bauer, S.; Spreafico, M.

Research output: Contribution to journal › Article

^{2}',

*Proceedings of the Royal Society of Edinburgh A*, vol. 131, pp. 767-783.

^{2}. Proceedings of the Royal Society of Edinburgh A. 2001;131:767-783.

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TY - JOUR

T1 - The Classifying Space of the Gauge Group of an SO(3)-Bundle over S2

AU - Crabb, Michael Charles

AU - Bauer, S.

AU - Spreafico, M.

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

M3 - Article

VL - 131

SP - 767

EP - 783

JO - Proceedings of the Royal Society of Edinburgh A

JF - Proceedings of the Royal Society of Edinburgh A

SN - 0308-2105

ER -