CW complexes, homotopy groups and cofibrations

  • Yves Félix
  • Stephen Halperin
  • Jean-Claude Thomas
Part of the Graduate Texts in Mathematics book series (GTM, volume 205)


We begin this monograph by introducing the main objects of study in homotopy theory: CW complexes and their homotopy groups. The topological spaces (manifolds, polyhedra, real algebraic varieties, … ) that arise in geometric contexts are all CW complexes.


Topological Space Homotopy Class Homotopy Type Homotopy Group Homotopy Theory 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Yves Félix
    • 1
  • Stephen Halperin
    • 2
  • Jean-Claude Thomas
    • 3
  1. 1.Institut MathematiquesUniversite de Louvain La NeuveLouvain-la-NeuveBelgium
  2. 2.College of Computer, Mathematical, and Physical ScienceUniversity of MarylandCollege ParkUSA
  3. 3.Faculte des SciencesUniversite d’AngersAngersFrance

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