Abstract tangent functors

J. Rosický

Diagrammes (1984)

  • Volume: 12, page JR1-JR11
  • ISSN: 0224-3911

How to cite

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Rosický, J.. "Abstract tangent functors." Diagrammes 12 (1984): JR1-JR11. <http://eudml.org/doc/91746>.

@article{Rosický1984,
author = {Rosický, J.},
journal = {Diagrammes},
keywords = {ring of line type; tangent functor; tangent bundle; synthetic differential geometry},
language = {eng},
pages = {JR1-JR11},
publisher = {Université Paris 7, Unité d'enseignement et de recherche de mathématiques},
title = {Abstract tangent functors},
url = {http://eudml.org/doc/91746},
volume = {12},
year = {1984},
}

TY - JOUR
AU - Rosický, J.
TI - Abstract tangent functors
JO - Diagrammes
PY - 1984
PB - Université Paris 7, Unité d'enseignement et de recherche de mathématiques
VL - 12
SP - JR1
EP - JR11
LA - eng
KW - ring of line type; tangent functor; tangent bundle; synthetic differential geometry
UR - http://eudml.org/doc/91746
ER -

References

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  1. [1] G. M. Kelly, A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on, Bull. Austral. Math. Soc. 22 ( 1980), 1-83. Zbl0437.18004MR589937
  2. [2] A. Kock, Synthetic Differential Geometry, Cambridge Univ. Press 1981. Zbl0466.51008MR649622
  3. [3] I. Kolář, On the second tangent bundle and generalized Lie derivatives, Tensor 38 ( 1982), 98-102. Zbl0512.58002MR832633
  4. [4] I. Kolář, Natural transformations of the second tangent functor into itself, to appear in Arch. Math. (Brno) 4 ( 1984). Zbl0578.58004MR784868
  5. [5] R. Lavendhomme, Note sur l'algèbre de Lie d'un groupe de Lie en géométrie différentielle synthetique, Univ. Cath. de Louvain, Sém. de math, pure, Rapport no. 111 ( 1981). 
  6. [6] G. E. Reyes and G. C. Wraith, A note on tangent bundles in a category with a ring object, Math. Scand. 42 ( 1978), 53-63. Zbl0392.18011MR500146
  7. [7] A. Van_urová, On geometry of the third tangent bundle, to appear in Acta Univ. Olom. 82 ( 1985). Zbl0619.53013MR879025
  8. [8] J. E. White, The method of iterated tangents with application in local Riemannian geometry, Pitman 1982. Zbl0478.58002MR693620

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