Covering Spaces

  • Fred H. Croom
Part of the Undergraduate Texts in Mathematics book series (UTM)


This chapter is designed to show the power of the fundamental group. We shall consider a class of mappings p: E → B, called “covering projections,” from a “covering space” E to a “base space” B to which we can extend the Covering Homotopy Property discussed in Chapter 4. Precise definitions are given in the next section.


Conjugacy Class Fundamental Group Base Space Covering Projection Covering Space 


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Copyright information

© Springer-Verlag, New York Inc. 1978

Authors and Affiliations

  • Fred H. Croom
    • 1
  1. 1.The University of the SouthSewaneeUSA

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