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Simplicial sets and topological spaces

  • Aldridge K. Bousfield
  • Daniel M. Kan
Part of the Lecture Notes in Mathematics book series (LNM, volume 304)

Abstract

The purpose of this chapter is
  1. (i)

    to review some of the basic notions of simplicial homotopy theory, and

     
  2. (ii)

    to convince (or at least try to convince) the reader that this simplicial homotopy theory is equivalent to the usual topological homotopy theory.

     

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Copyright information

© Springer-Verlag Berlin Heidelberg 1972

Authors and Affiliations

  • Aldridge K. Bousfield
    • 1
  • Daniel M. Kan
    • 2
  1. 1.Department of MathematicsUniversity of IllinoisChicagoUSA
  2. 2.Massachusetts Institute of TechnologyCambridgeUSA

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