The Fundamental Group

  • M. A. Armstrong
Part of the Undergraduate Texts in Mathematics book series (UTM)


We gave a brief description of how to set about defining the fundamental group of a space at the end of Chapter 1. We recall that the idea is to manufacture a group out of the set of loops in the space which begin and end at some specified point (usually referred to as the base point).


Fundamental Group Homotopy Class Homotopy Type Orbit Space Klein Bottle 


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Copyright information

© Springer Science+Business Media New York 1983

Authors and Affiliations

  • M. A. Armstrong
    • 1
  1. 1.Department of MathematicsUniversity of DurhamDurhamEngland

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