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
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.
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© 2001 Springer-Verlag Berlin Heidelberg
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Fadell, E.R., Husseini, S.Y. (2001). The Serre Spectral Sequence. In: Geometry and Topology of Configuration Spaces. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56446-8_14
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DOI: https://doi.org/10.1007/978-3-642-56446-8_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63077-4
Online ISBN: 978-3-642-56446-8
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