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Covering Spaces and Fibrations

In: Algebraic Topology

Author

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  • Edwin H. Spanier

    (University of California, Department of Mathematics)

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.

Suggested Citation

  • Edwin H. Spanier, 1966. "Covering Spaces and Fibrations," Springer Books, in: Algebraic Topology, chapter 0, pages 60-105, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4684-9322-1_3
    DOI: 10.1007/978-1-4684-9322-1_3
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