Abstract
We prove in this chapter a generalization of Wall’s finiteness obstruction theorem. This theorem was originally formulated for CW-complexes. We show that such a result actually holds for T-complexes in any homological cofibration category. The basic ingredient in the proof are the model lifting property of the twisted chain functor in (VI.§ 8) and the translation of Ranicki’s “instant finiteness obstructions” to the language of twisted chain complexes in § 3.
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© 1999 Springer-Verlag Berlin Heidelberg
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Baues, HJ. (1999). Finiteness Obstructions. In: Combinatorial Foundation of Homology and Homotopy. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-11338-7_11
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DOI: https://doi.org/10.1007/978-3-662-11338-7_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08447-8
Online ISBN: 978-3-662-11338-7
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