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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 304))

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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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© 1972 Springer-Verlag Berlin Heidelberg

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Bousfield, A.K., Kan, D.M. (1972). Simplicial sets and topological spaces. In: Homotopy Limits, Completions and Localizations. Lecture Notes in Mathematics, vol 304. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38117-4_8

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  • DOI: https://doi.org/10.1007/978-3-540-38117-4_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06105-2

  • Online ISBN: 978-3-540-38117-4

  • eBook Packages: Springer Book Archive

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