Geometriae Dedicata

, Volume 148, Issue 1, pp 263–289 | Cite as

A Bass–Heller–Swan formula for pseudoisotopies

  • L. Christine Kinsey
  • Stratos PrassidisEmail author
Original Paper


The Bass–Heller–Swan formula is a basic calculational tool in pseudoisotopy K-theory. We describe the Nil-groups and the Bass–Heller–Swan splitting for the group of the pseudoisotopies of a closed manifold. We use the methods of controlled topology used in the Bass–Heller–Swan splitting in K-theory.


Pseudoisotopy Relaxation Nil-groups 

Mathematics Subject Classification (2010)

57N37 19D10 


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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Department of MathematicsCanisius CollegeBuffaloUSA

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