On analytic models of synthetic differential geometry

Eduardo J. Dubuc; Jorge G. Zilber

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1994)

  • Volume: 35, Issue: 1, page 49-73
  • ISSN: 1245-530X

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Dubuc, Eduardo J., and Zilber, Jorge G.. "On analytic models of synthetic differential geometry." Cahiers de Topologie et Géométrie Différentielle Catégoriques 35.1 (1994): 49-73. <http://eudml.org/doc/91535>.

@article{Dubuc1994,
author = {Dubuc, Eduardo J., Zilber, Jorge G.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {analytic scheme; synthetic differential geometry},
language = {eng},
number = {1},
pages = {49-73},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {On analytic models of synthetic differential geometry},
url = {http://eudml.org/doc/91535},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Dubuc, Eduardo J.
AU - Zilber, Jorge G.
TI - On analytic models of synthetic differential geometry
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1994
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 35
IS - 1
SP - 49
EP - 73
LA - eng
KW - analytic scheme; synthetic differential geometry
UR - http://eudml.org/doc/91535
ER -

References

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  1. [1] M. Bunge and E.J. Dubuc, Archimedian Local C∞ -Rings and Models of Synthetic Differential Geometry, Cahiers de Topologie et Geometrie DifferentielleXXVII-3 (1986). Zbl0614.18007
  2. [2] M. Bunge and E.J. Dubuc, Local Concepts in S.D. G. and Germ Representability, Lectures Notes in Pure and Applied Mathematics, Marcel Dekker, New York, (1989). 
  3. [3] E.J. Dubuc, C∞ - Schemes, American Journal of Mathematics103 (1981). Zbl0483.58003
  4. [4] E.J. Dubuc, Integración de Campos Vectoriales y Geometria Diferencial Sintética, Proc. VII Semana Nacional de Matemáticas, F.A.M.A.F., Universidad Nacional de Córdoba, (1984). 
  5. [5] E.J. Dubuc, Germ Representability and LocalIntegration of Vector Fields in a Well Adapted Model of S.D. G., Journal of Pure and Applied Algebra64 (1990). Zbl0702.18008MR1055025
  6. [6] E.J. Dubuc and G. Taubin, Analitic Rings, Cahiers de Topologie et Geometrie DifferentielleXXIV-3 (1983). Zbl0575.32004
  7. [7] F. Gago, Singularites dans la Geometrie Differentielle Synthetique, Bulletin de la Societe Mathematique de Belgique, XLI-2 (1989). Zbl0688.18007MR1031752
  8. [8] A. Kock, Synthetic Differential Geometry, London Mathematical Society Lecture Notes Series 51, Cambridge University Press (1981). Zbl0466.51008MR649622
  9. [9] B. Malgrange, Analytic Spaces, Monographie 17, l'Enseignement Mathematique, Geneve (1968). MR237824
  10. [10] J. Penon, Topologie et Intuitionnisme, Journees Faisceaux et Logique, Universite Paris Nord, Prepublications Mathematiques (1982). 
  11. [11] J. Penon, De L'Infinitesimalau Local, Diagrammes, Paris VII (1985). Zbl0558.18003MR798526
  12. [12] J.C. Zilber, Local Analytic Rings, Cahiers de Topologie et Geometrie DifferentielleXXXI-1 (1990). Zbl0705.32002MR1060606

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