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Commutativity and Homotopy-Commutativity

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Part of the Lecture Notes in Mathematics book series (LNM,volume 4)

Abstract

The aim of this section is to show, by means of the methods developed in Chapter 3, that for an associative H-space G there exist maps G× G → G satisfying certain commutativity conditions (Theorem 4.5). As will be explained in Remarks 4.6 this result is related to the work of other authors on homotopy-commutativity.

Keywords

  • Infinite Number
  • Topological Group
  • Homotopy Class
  • Homotopy Equivalent
  • Commutativity Condition

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© 1964 Springer-Verlag Berlin Heidelberg

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Arkowitz, M., Curjel, C.R. (1964). Commutativity and Homotopy-Commutativity. In: Groups of Homotopy Classes. Lecture Notes in Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-15913-2_4

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  • DOI: https://doi.org/10.1007/978-3-662-15913-2_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-15915-6

  • Online ISBN: 978-3-662-15913-2

  • eBook Packages: Springer Book Archive