Lie Groups pp 81-91 | Cite as

The Universal Cover

  • Daniel Bump
Part of the Graduate Texts in Mathematics book series (GTM, volume 225)


If U is a Hausdorff topological space, a path is a continuous map p : [0,1]→ U. The path is closed if the endpoints coincide : p(0) = p(1). A closed path is also called a loop.


  1. 149.
    E. Spanier. Algebraic Topology. McGraw-Hill Book Co., New York, 1966.Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Daniel Bump
    • 1
  1. 1.Department of MathematicsStanford UniversityStanfordUSA

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