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Cellular Chain Models

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

Abstract

Our aim in this chapter is to present cellular chain models for the singular chain coalgebras \(C_* S(\mathbb{F}_k (M))\), where M is ℝ n+1 or S n+1. The models are based on the cellular models \(X \simeq \mathbb{F}_k (\mathbb{R}^{n + 1} )\) and \(Y \simeq \mathbb{F}_{k + 1} (S^{n + 1} )\) of Chapter VI, with n < 1. The results here are to be used in Part Three, where cellular models for the loop spaces of the configuration spaces are studied.

Keywords

Configuration Space Loop Space Fundamental Class Chain Module Integral Coefficient 
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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