The Seifert–Van Kampen Theorem

  • John M. LeeEmail author
Part of the Graduate Texts in Mathematics book series (GTM, volume 202)


In this chapter we develop the techniques needed to compute the fundamental groups of finite CW complexes, compact surfaces, and a good many other spaces as well. The basic tool is the Seifert–Van Kampen theorem, which gives a formula for the fundamental group of a space that can be decomposed as the union of two open, path-connected subsets whose intersection is also path-connected.


Span Tree Fundamental Group Euler Characteristic Free Product Compact Surface 
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Copyright information

© Springer Science and Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of WashingtonSeattleUSA

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