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The Serre Spectral Sequence

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

Abstract

In this chapter we study the Serre spectral sequence \(\{ E_{*,*}^r (p),d^r \} \) over \(\mathbb{K}\, = \mathbb{Z}\), and ℤ2, of the path space fibration
$$ p\,:\,P(M) \to M, $$
with \(M = \,\mathbb{F}_k (\mathbb{R}^{n + 1} )\) or \(\mathbb{F}_{k + 1} (S^{n + 1} )\). Here the paths are based at an appropriate basepoint.

Keywords

Exact Sequence Spectral Sequence Factor Table Twisted Product Dimensional Reason 
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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