Formal manifolds and synthetic theory of jet bundles

Anders Kock

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1980)

  • Volume: 21, Issue: 3, page 227-246
  • ISSN: 1245-530X

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Kock, Anders. "Formal manifolds and synthetic theory of jet bundles." Cahiers de Topologie et Géométrie Différentielle Catégoriques 21.3 (1980): 227-246. <http://eudml.org/doc/91230>.

@article{Kock1980,
author = {Kock, Anders},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {formal manifolds; synthetic theory of jet bundles; topos; jet of sections; leftadjoint; groupoid},
language = {eng},
number = {3},
pages = {227-246},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Formal manifolds and synthetic theory of jet bundles},
url = {http://eudml.org/doc/91230},
volume = {21},
year = {1980},
}

TY - JOUR
AU - Kock, Anders
TI - Formal manifolds and synthetic theory of jet bundles
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1980
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 21
IS - 3
SP - 227
EP - 246
LA - eng
KW - formal manifolds; synthetic theory of jet bundles; topos; jet of sections; leftadjoint; groupoid
UR - http://eudml.org/doc/91230
ER -

References

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  2. 2 C. Ehresmann, Les connexions infinitésimales dans un espace fibré différentiable, Colloque Topologie Bruxelles1950, CBRM, 29-55. Zbl0054.07201MR42768
  3. 3 C. Ehresm Ann, Calcul des jets, C. R. A. S. Paris233 (1951), 598. MR44198
  4. 4 C. Ehresmann, Sur les connexions d'ordre supérieur, Atti del V Congresso dell'Unione Matem. Ital. P avia Torino (1956), 344-346. 
  5. 5 C. Ehresmann, Catégories topologiques et catégories différentiables, Coll. Géom. Diff. GlobaleBruxelles1958, CBRM, 137- 150. Zbl0205.28202MR116360
  6. 6 C. Ehresmann, Grupoides diferenciables y pseudogrupos de Lie, Rev. Un. Mat. Argentina19 (1960), 48. 
  7. 7 C. Ehresmann, Prolongements des catégories différentiables, Cahiers Topo. et Géom, Diff.VI (1964). Zbl0192.10102MR179225
  8. 8 P. Johnstone, Topos Theory, Academic Press, London, 1977. Zbl0368.18001MR470019
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  10. 10 A. Kock, Taylor series calculus for ring objects of line type, J. Pure & Appl. Algebra12 (1978), 271-293. Zbl0394.14003MR501073
  11. 11 A. Kock, On the synthetic theory of vector fields, in Topos theoretic methods in Geometry, Aarhus Var. Publ. Series 30 (1979), 139-157. Zbl0418.18007MR552661
  12. 12 A. Kock, Properties of well-adapted models for synthetic differential geometry, J. Pure & Appl. Algebra ( to appear). Zbl0487.18006MR596153
  13. 13 A. Kock & G.E. Reyes, Manifolds in formal differential geometry, Lecture Notes in Math.753, Springer (1977), 514-533. Zbl0426.14001MR555559
  14. 14 A. Kumpera & D. Spencer, Lie equations, Annals of Math. Studies73, Princeton (1972). Zbl0258.58015
  15. 15 P. Lib Ermann, Sur le s prolongements des fibrés principaux et de s groupoïdes différentiables banachiques, in Analyse Globale, Presses Univ. Montréal1971, 7-108. Zbl0248.53031MR356117
  16. 16 B. Malgrange, Equations de Lie I-II, J. Diff. Geom.6 (1972), 503-522; 7 (1972), 117-141. Zbl0264.58009MR326784
  17. 17 Ngovanque, Du prolongement des espaces fibrés et des structures infinitésimales, Ann. Institut Fourier17, Grenoble (1967), 157-223. Zbl0157.28506MR221416
  18. 18 G.E. Reyes& G.C. Wraith, A note on tangent bundles in a category with a ring object, Math. Scand.42 (1978), 53- 63. Zbl0392.18011MR500146
  19. 19 J. Verdier, Fonctorialité de s catégories de faisceaux, SGA 4, Exposé III Lecture Notes in Math.269, Springer. Zbl0256.18007
  20. 20 P. Ver E Ecke, Introduccion a las conexiones de orden superior, Fac. Cienc. de Zaragoza, 1968. MR238213
  21. 21 Topos theoretic methods in Geometry, A collection of articles ed. A. KOCK, Aarhus Var. Publ. Series 30, 1979. Zbl0396.00004MR552655

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