The Fundamental Group

  • Steven H. Weintraub
Part of the Graduate Texts in Mathematics book series (GTM, volume 270)


One of the basic invariants of the homotopy type of a topological space is its fundamental group. In this chapter we define the fundamental group of a space and see how to calculate it. We also see the intimate relationship between the fundamental group and covering spaces.


Fundamental Group Homotopy Class Homotopy Type Algebraic Topology Maximal Tree 
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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Steven H. Weintraub
    • 1
  1. 1.Department of MathematicsLehigh UniversityBethlehemUSA

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