Advertisement

Whitehead Torsion in the CW Category

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

Abstract

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).

Keywords

Universal Covering Covariant Functor Lens Space Regular Neighborhood Whitehead Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York Inc. 1973

Authors and Affiliations

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

Personalised recommendations