Weil prolongations of Banach manifolds in an analytic model of S D G

Eduardo J. Dubuc; Jorge G. Zilber

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2005)

  • Volume: 46, Issue: 2, page 83-98
  • ISSN: 1245-530X

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Dubuc, Eduardo J., and Zilber, Jorge G.. "Weil prolongations of Banach manifolds in an analytic model of $SDG$." Cahiers de Topologie et Géométrie Différentielle Catégoriques 46.2 (2005): 83-98. <http://eudml.org/doc/91694>.

@article{Dubuc2005,
author = {Dubuc, Eduardo J., Zilber, Jorge G.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {2},
pages = {83-98},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Weil prolongations of Banach manifolds in an analytic model of $SDG$},
url = {http://eudml.org/doc/91694},
volume = {46},
year = {2005},
}

TY - JOUR
AU - Dubuc, Eduardo J.
AU - Zilber, Jorge G.
TI - Weil prolongations of Banach manifolds in an analytic model of $SDG$
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2005
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 46
IS - 2
SP - 83
EP - 98
LA - eng
UR - http://eudml.org/doc/91694
ER -

References

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  1. [1] Bunge, M., Dubuc, E.J.Local Concepts in Synthetic Differential Geometry and Germ Representability, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, New York,(1989). Zbl0658.18004MR930679
  2. [2] Cartan H.Ideaux de fonctions analytiques de n variables complexes, Annales de l'Ecole Normale, 3e serie, 61 (1944). Zbl0035.17103MR14472
  3. [3] Cartan H. Ideaux et Modules deFonctions Analytiques de variables complexes, Bulletin de laSoc. Math. de France, t. 78 (1950). Zbl0038.23703MR36848
  4. [4] Dubuc E.J.Sur les modeles de la geometrie Differentielle Synthetique, Cahiers de Top. et Geom. Diff.XX-3 (1979). Zbl0473.18008MR557083
  5. [5] Dubuc E.J., Taubin G.Analytic Rings, Cahiers de Top. et Geom. Diff.XXIV-3 (1983). Zbl0575.32004MR728632
  6. [6] Dubuc E.J., Zilber J.On Analytic Models of Synthetic Differential Geometry, Cahiers de Top. et Geom. Diff. Vol XXXV-1 (1994). Zbl0790.32009
  7. [7] Dubuc, E.J., Zilber, J.Banach Spaces in an Analytic Model of Synthetic Differential Geometry, Cahiers de Top. et Geom. Diff.XXXIX-2 (1998). Zbl0923.32024
  8. [8] Dubuc, E.J., Zilber, J.Inverse function theorems for Banach spaces in a topos, Cahiers de Top. et Geom. Diff.XLI-3 (2000). Zbl0974.47049
  9. [9] Ehresmann, C.Les prolongements d'une variete differentiable I, C.R.A.S.Paris233 (1951), also in Charles Ehresmann, oeuvres completes et commentes, Cahiers de Top. et Geom.Diff., supplement au volume XXIV (1983) 
  10. [10] Mujica, J. Holomorphic Functions and Domains ofHolomorphy in Finite and Infinite Dimensions, North Holland Mathematics Studies120 (1986). Zbl0586.46040MR842435
  11. [11] Weil, A.Theorie des points proches sur les varietes differentiables, ColloqueTop. et Geom. Diff., Strasbourg, (1953). Zbl0053.24903MR61455
  12. [12] Zilber J.Local Analytic Rings, Cahiers de Top. et Geom. Diff.XXXI-1 (1990). Zbl0705.32002MR1060606

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