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Homotopy and the Fundamental Group

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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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  • DOI: 10.1007/978-1-4684-9322-1_2
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© 1966 Springer-Verlag New York, Inc.

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Spanier, E.H. (1966). Homotopy and the Fundamental Group. In: Algebraic Topology. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9322-1_2

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  • DOI: https://doi.org/10.1007/978-1-4684-9322-1_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94426-5

  • Online ISBN: 978-1-4684-9322-1

  • eBook Packages: Springer Book Archive