manuscripta mathematica

, Volume 26, Issue 1, pp 63–82

Äquivariante whiteheadtorsion

  • Henning Hauschild
Article

DOI: 10.1007/BF01167967

Cite this article as:
Hauschild, H. Manuscripta Math (1978) 26: 63. doi:10.1007/BF01167967

Abstract

In this note we compute the equivariant Whiteheadgroups WHG(X) introduced by S. Illman. Because a G-homotopy equivalence is in general not isovariant, and a G-diffeomorphism is isovariant, the group WhG(X) does not give the right invariants for the equivariant s-cobordism theorem. So we introduce the isovariant Whiteheadgroup IWhG(X), prove an isovariant s-cobordism theorem and give some applications.

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Henning Hauschild
    • 1
  1. 1.Mathematisches Institut der Universität GöttingenGöttingenBundesrepublik Deutschland