The Van Kampen Theorem

  • William Fulton
Part of the Graduate Texts in Mathematics book series (GTM, volume 153)


In this section X will denote a connected, locally path-connected, and semilocally simply connected space, so X has a universal covering, denoted u:\(\tilde X\)X. All spaces will have base points, and all maps will be assumed to take base points to base points. The base point of X is denoted x, and the base point of \(\tilde X\) over x is denoted \(\tilde x\).


Base Point Fundamental Group Universal Covering Universal Property Left Action 
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Copyright information

© Springer Science+Business Media, Inc. 1995

Authors and Affiliations

  • William Fulton
    • 1
  1. 1.Mathematics DepartmentUniversity of ChicagoChicagoUSA

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