Monatshefte für Mathematik

, Volume 134, Issue 1, pp 39–50 | Cite as

Iteration of Fiber Product Preserving Bundle Functors

  • Miroslav Doupovec
  • Ivan Kolář

Abstract.

 Using the theory of Weil algebras, we describe the composition of two product preserving bundle functors on the category of fibered manifolds with m-dimensional bases and fiber preserving maps with local diffeomorphisms as base maps. Then we deduce certain interesting geometric properties of the natural transformations of some of the iterated functors.

Key words: Bundle functor Weil bundle jet bundle natural transformation 
2000 Mathematics Subject Classification: 58A05 58A20 

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Copyright information

© Springer-Verlag Wien 2001

Authors and Affiliations

  • Miroslav Doupovec
    • 1
  • Ivan Kolář
    • 2
  1. 1. FSI VUT Brno, Czech RepublicCZ
  2. 2. Masaryk University, Brno, Czech RepublicCZ

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