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 ℝn+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.
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© 2001 Springer-Verlag Berlin Heidelberg
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Fadell, E.R., Husseini, S.Y. (2001). Cellular Chain Models. In: Geometry and Topology of Configuration Spaces. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56446-8_9
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DOI: https://doi.org/10.1007/978-3-642-56446-8_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-63077-4
Online ISBN: 978-3-642-56446-8
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