## Abstract

Let G be a compact connected Lie group and let P be a principal G-bundle over K. The gauge group of P is the topological group of automorphisms of P. For fixed G and K, consider all principal G-bundles P over K. It is proved in Crabb and Sutherland [Proc. London Math. Soc. (3) 81 (2000) 747-768] and Tsutaya [J. London Math. Society 85 (2012) 142-164] that the number of A_{n}-types of the gauge groups of P is finite if n < ∞ and K is a finite complex. We show that the number of A_{∞}-types of the gauge groups of P is infinite if K is a sphere and there are infinitely many P.

Original language | English |
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Article number | jtv025 |

Pages (from-to) | 181-191 |

Number of pages | 11 |

Journal | Journal of Topology |

Volume | 9 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jul 29 2015 |

Externally published | Yes |

## All Science Journal Classification (ASJC) codes

- Geometry and Topology

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