Banach spaces in an analytic model of synthetic differential geometry

Eduardo J. Dubuc; Jorge C. Zilber

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1998)

  • Volume: 39, Issue: 2, page 117-136
  • ISSN: 1245-530X

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Dubuc, Eduardo J., and Zilber, Jorge C.. "Banach spaces in an analytic model of synthetic differential geometry." Cahiers de Topologie et Géométrie Différentielle Catégoriques 39.2 (1998): 117-136. <http://eudml.org/doc/91602>.

@article{Dubuc1998,
author = {Dubuc, Eduardo J., Zilber, Jorge C.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {synthetic differential geometry; embedding; Banach spaces},
language = {eng},
number = {2},
pages = {117-136},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Banach spaces in an analytic model of synthetic differential geometry},
url = {http://eudml.org/doc/91602},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Dubuc, Eduardo J.
AU - Zilber, Jorge C.
TI - Banach spaces in an analytic model of synthetic differential geometry
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1998
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 39
IS - 2
SP - 117
EP - 136
LA - eng
KW - synthetic differential geometry; embedding; Banach spaces
UR - http://eudml.org/doc/91602
ER -

References

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  1. [1] Bruno O.On a property of ideals of differentiable functions, Journal of theAustralian Mathematical Society (1986) Zbl0603.26010MR832531
  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] Douady A. LeProbleme des Modules pour les Sous-Espaces Analytiques Compacts d'un Espace Analytique donne, Ann. Inst. Fourier16, 1, Grenoble (1966). Zbl0146.31103MR203082
  5. [5] Dubuc E. J.C∞ - Schemes, American Journal of Mathematics, Vol 103 (4)(1981) Zbl0483.58003
  6. [6] Dubuc E. J., Taubin G.Analytic Rings, Cahiers de Topologie et Geometrie DifferentielleXXIV-3 (1983). Zbl0575.32004MR728632
  7. [7] Dubuc E.J., Zilber J.Analytic Models of Synthetic Differential Geometry, Cahiers de Topologie et Geometrie Differentielle, Vol XXXV-1 (1994). Zbl0790.32009
  8. [8] Mujica, J. Holomorphic Functions and Domains ofHolomorphy in Finite and Infinite Dimensions, North Holland Mathematics Studies120 (1986). Zbl0586.46040MR842435
  9. [9] Zilber J.Local Analytic Rings, Cahiers de Topologie et Geometrie Dif ferentielleXXXI-1 (1990). Zbl0705.32002MR1060606

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