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RPT-Constructions

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

Abstract

Our aim in this chapter is to represent the spaces of based and free loops Ω(X) and Λ(X) as well as other associated spaces of a simply connected, countable CW-complex X with a single 0-vertex, e, as CW-complexes of a certain kind. In the case of Ω(X), the complex will have a nondegenerate product corresponding to the usual path multiplication. The first example of such constructions is the reduced-product complex X of [63, James]. The complexes we construct generalize his construction and will be called constructions of the reduced-product type, or RPT-complexes for short.

Keywords

Spectral Sequence Homotopy Group Special Complex Homotopy Equivalence Serre Spectral Sequence 
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.

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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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