Abstract
The geometry in Chapter II and the algebraic analysis of Chapter III are synthesized in the definition:
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If (K, L) is a pair of finite, connected CW complexes such that K ↯ L then the torsion of (K, L)—written τ(K, L)—is defined by
$$ \tau (K,L) = \tau (C(\tilde K,\tilde L)) \in Wh({\pi _1}L) $$where (K̃, L̃) is the universal covering of (K,L).
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© 1973 Springer-Verlag New York Inc.
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Cohen, M.M. (1973). Whitehead Torsion in the CW Category. In: A Course in Simple-Homotopy Theory. Graduate Texts in Mathematics, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9372-6_4
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DOI: https://doi.org/10.1007/978-1-4684-9372-6_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90055-1
Online ISBN: 978-1-4684-9372-6
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