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Homotopy and the Fundamental Group

  • Edwin H. Spanier

Abstract

topology is the study of topological spaces and continuous functions between them. A standard problem is the classification of such spaces and functions up to homeomorphism. A weaker equivalence relation, based on continuous deformation, leads to another classification problem. This latter classification problem is of fundamental importance in algebraic topology, since it is the one where the tools available seem to be most successful.

Keywords

Topological Space Fundamental Group Homotopy Class Homotopy Type Pointed Space 
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-Verlag New York, Inc. 1966

Authors and Affiliations

  • Edwin H. Spanier
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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