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Introduction

  • Edward R. Fadell
  • Sufian Y. Husseini
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

Our aim in Part One is to develop basic methods for Parts Two and Three, where we study the associated spaces of the based and free loops of, respectively, \(\mathbb{F}_k (M)\), with M being the Euclidean space ℝ m , or the sphere S m . Part One is devoted to the homotopy theory of configuration spaces.

Keywords

Symmetric Group Configuration Space Braid Group Homotopy Theory Whitehead Product 
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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Edward R. Fadell
    • 1
  • Sufian Y. Husseini
    • 1
  1. 1.Department of MathematicsUniversity of Wisconsin-MadisonMadisonUSA

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