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Covering Spaces and Fibrations

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Abstract

the theory of covering spaces is important not only in topology, but also in differential geometry, complex analysis, and Lie groups. The theory is presented here because the fundamental group functor provides a faithful representation of covering-space problems in terms of algebraic ones. This justifies our special interest in the fundamental group functor.

Keywords

  • Fundamental Group
  • Fiber Bundle
  • Base Space
  • Open Covering
  • Covering Projection

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/978-1-4684-9322-1_3
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© 1966 Springer-Verlag New York, Inc.

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Spanier, E.H. (1966). Covering Spaces and Fibrations. In: Algebraic Topology. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9322-1_3

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  • DOI: https://doi.org/10.1007/978-1-4684-9322-1_3

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94426-5

  • Online ISBN: 978-1-4684-9322-1

  • eBook Packages: Springer Book Archive