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Bundles are an essential class of maps that generalise coverings. The fibre of a general bundle must no longer be discrete but can be any topological space. Important examples of fibre bundles are principal bundles and vector bundles, whose fibres are topological groups and vector spaces, respectively. This chapter introduces these concepts.

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Bundles and Fibrations

  • 章节

  • 发表日期：

    2025年

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  • Gerd Laures,
  • Markus Szymik

摘要

Bundles are an essential class of maps that generalise coverings. The fibre of a general bundle must no longer be discrete but can be any topological space. Important examples of fibre bundles are principal bundles and vector bundles, whose fibres are topological groups and vector spaces, respectively. This chapter introduces these concepts.