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The Seifert–Van Kampen Theorem

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

Abstract

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.

Keywords

Span Tree Fundamental Group Euler Characteristic Free Product Compact Surface 
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.

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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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