An abstract characterization of the jet spaces

Ivan Kolar

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1993)

  • Volume: 34, Issue: 2, page 121-125
  • ISSN: 1245-530X

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Kolar, Ivan. "An abstract characterization of the jet spaces." Cahiers de Topologie et Géométrie Différentielle Catégoriques 34.2 (1993): 121-125. <http://eudml.org/doc/91516>.

@article{Kolar1993,
author = {Kolar, Ivan},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {bundle functors; -th order jet functor; germs of smooth maps; fibered manifold},
language = {eng},
number = {2},
pages = {121-125},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {An abstract characterization of the jet spaces},
url = {http://eudml.org/doc/91516},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Kolar, Ivan
TI - An abstract characterization of the jet spaces
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1993
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 34
IS - 2
SP - 121
EP - 125
LA - eng
KW - bundle functors; -th order jet functor; germs of smooth maps; fibered manifold
UR - http://eudml.org/doc/91516
ER -

References

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  1. [1] Eck, D.J., Product preserving functors on smooth manifolds, J. Pure and Applied Algebra42 (1986), 133-140. Zbl0615.57019MR857563
  2. [2] Ehresmann, C., Oeuvres complètes et commentées, Parties I-1 et I-2, Suppléments au Volume XXIV (1983) des Cahiers Topo. Géom. Diff.. Zbl0561.01027
  3. [3] Epstein, D.B.A.; Thurston W.P., Transformation groups and natural bundles, Proc. London Math. Soc.38(1979), 219-236. Zbl0409.58001MR531161
  4. [4] Kainz, G.; Michor, P.W., Natural transformations in differential geometry, Czechoslovak Math. J.37(1987), 584-607. Zbl0654.58001MR913992
  5. [5] Kolář, I., Covariant approach to natural transformations of Weil functors, Comment. Math. Univ. Carolin.27(1986), 723-729. Zbl0603.58001MR874666
  6. [6] Kolář, I.; Michor, P.W.,; Slovák, J., Natural operations in differential geometry, to appear. Zbl0782.53013MR1202431
  7. [7] Luciano, O.O., Categories of multiplicative functors and Weil's infinitely near points, Nagoya Math. J.109(1988), 69-89. Zbl0661.58007MR931952
  8. [8] Palais, R.S.; Terng, C.L., Natural bundles have finite order, Topology16(1977), 271-277. Zbl0359.58004MR467787
  9. [9] Weil, A., Théorie des points proches sur les variétés différentielles, Colloque de topol. et géom. diff., Strasbourg, 1953, 111-117. Zbl0053.24903MR61455

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