Whitehead Torsion in the CW Category

  • Marshall M. Cohen
Part of the Graduate Texts in Mathematics book series (GTM, volume 10)


The geometry in Chapter II and the algebraic analysis of Chapter III are synthesized in the definition:
  • 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).


Universal Covering Covariant Functor Lens Space Regular Neighborhood Whitehead Group 


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Copyright information

© Springer-Verlag New York Inc. 1973

Authors and Affiliations

  • Marshall M. Cohen
    • 1
  1. 1.Cornell UniversityIthacaUSA

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