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The Fundamental Group

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

Abstract

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.

Keywords

Fundamental Group Homotopy Class Homotopy Type Algebraic Topology Maximal Tree 
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.

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

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

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