manuscripta mathematica

, Volume 30, Issue 4, pp 425–445

Triangulation of stratified fibre bundles

Authors

  • Andrei Verona
    • Department of MathematicsNational Institute for Scientific and Technical Creation
Article

DOI: 10.1007/BF01301261

Cite this article as:
Verona, A. Manuscripta Math (1979) 30: 425. doi:10.1007/BF01301261

Abstract

We prove that for any stratified fibre bundle p:A·M (A being the underlying space of an abstract prestratification and M a smooth manifold) and any triangulation of M there exists a triangulation of A such that p becomes linear with respect to these triangulations. In particular, any abstract prestratification is triangulable. As a corollary we obtain that the orbit space of a smooth action of a compact Lie group is triangulable.

Copyright information

© Springer-Verlag 1980