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Commutativity and Homotopy-Commutativity

  • M. Arkowitz
  • C. R. Curjel
Chapter
  • 325 Downloads
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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Copyright information

© Springer-Verlag Berlin Heidelberg 1964

Authors and Affiliations

  • M. Arkowitz
    • 1
    • 2
    • 3
  • C. R. Curjel
    • 1
    • 2
    • 3
  1. 1.Dartmouth CollegeHanoverUSA
  2. 2.University of WashingtonSeattleUSA
  3. 3.Forschungsinstitut für MathematikEidg. Techn. HochschuleZürichSwitzerland

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