Product preserving bundle functors on fibered manifolds

Włodzimierz M. Mikulski

Archivum Mathematicum (1996)

  • Volume: 032, Issue: 4, page 307-316
  • ISSN: 0044-8753

Abstract

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The complete description of all product preserving bundle functors on fibered manifolds in terms of natural transformations between product preserving bundle functors on manifolds is given.

How to cite

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Mikulski, Włodzimierz M.. "Product preserving bundle functors on fibered manifolds." Archivum Mathematicum 032.4 (1996): 307-316. <http://eudml.org/doc/18472>.

@article{Mikulski1996,
abstract = {The complete description of all product preserving bundle functors on fibered manifolds in terms of natural transformations between product preserving bundle functors on manifolds is given.},
author = {Mikulski, Włodzimierz M.},
journal = {Archivum Mathematicum},
keywords = {product preserving bundle functors; natural transformations; product preserving bundle functors; natural transformations; Weil bundle functors},
language = {eng},
number = {4},
pages = {307-316},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Product preserving bundle functors on fibered manifolds},
url = {http://eudml.org/doc/18472},
volume = {032},
year = {1996},
}

TY - JOUR
AU - Mikulski, Włodzimierz M.
TI - Product preserving bundle functors on fibered manifolds
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 4
SP - 307
EP - 316
AB - The complete description of all product preserving bundle functors on fibered manifolds in terms of natural transformations between product preserving bundle functors on manifolds is given.
LA - eng
KW - product preserving bundle functors; natural transformations; product preserving bundle functors; natural transformations; Weil bundle functors
UR - http://eudml.org/doc/18472
ER -

References

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  1. Product preserving functors on smooth manifolds, J. Pure and Applied Algebra 42(1986), 133-140. Zbl0615.57019MR0857563
  2. Natural transformations in differential geometry, Czechoslovak Math. J. 37(1987), 584-607. MR0913992
  3. Natural Operations in Differential Geometry, Springer-Verlag, Berlin 1993. MR1202431
  4. Categories of multiplicative functors and Weil’s infinitely near points, Nagoya Math. J. 109(1988), 69-89. Zbl0661.58007MR0931952
  5. Prolongations of connections to bundles of infinitely near points, J. Diff. Geo. 11(1976), 479-498. MR0445422
  6. Théorie des points proches sur les varietes differentielles, Strasbourg 1953, 111-117. MR0061455

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