Archimedian local C ∞ -rings and models of synthetic differential geometry

Marta Bunge; Eduardo J. Dubuc

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1986)

  • Volume: 27, Issue: 3, page 3-22
  • ISSN: 1245-530X

How to cite

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Bunge, Marta, and Dubuc, Eduardo J.. "Archimedian local $C^\infty $-rings and models of synthetic differential geometry." Cahiers de Topologie et Géométrie Différentielle Catégoriques 27.3 (1986): 3-22. <http://eudml.org/doc/91384>.

@article{Bunge1986,
author = {Bunge, Marta, Dubuc, Eduardo J.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {local ring map; -ring objects; topos; local Archimedean; model for synthetic differential geometry; smooth manifolds; Dedekind reals},
language = {eng},
number = {3},
pages = {3-22},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Archimedian local $C^\infty $-rings and models of synthetic differential geometry},
url = {http://eudml.org/doc/91384},
volume = {27},
year = {1986},
}

TY - JOUR
AU - Bunge, Marta
AU - Dubuc, Eduardo J.
TI - Archimedian local $C^\infty $-rings and models of synthetic differential geometry
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1986
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 27
IS - 3
SP - 3
EP - 22
LA - eng
KW - local ring map; -ring objects; topos; local Archimedean; model for synthetic differential geometry; smooth manifolds; Dedekind reals
UR - http://eudml.org/doc/91384
ER -

References

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  1. 1 O. Bruno, Internal mathematics in toposes, Trabajos de Matem.70, I.A.M, Buenos-Aires (1984). 
  2. 2 E.J. Dubuc, Sur les modèles de la Géometric Différentielle Synthétique, Cahiers Top. et Géom. Diff. XX-3 (1979), 231-279. Zbl0473.18008MR557083
  3. 3 E.J. Dubuc, C∞-schemes, Amer. J. Math.103 (1981), 683-690. Zbl0483.58003
  4. 4 E.J. Dubuc, Logical opens and real numbers in topoi, J. Pure Appl. Algebra (to appear). Zbl0608.18004MR866615
  5. 5 E.J. Dubuc & G. Taubin, Analytic rings, Cahiers Top. et Géom. Diff.XXIV (1983). Zbl0575.32004
  6. 6 A. Kock, Properties of well adapted models for synthetic differential geometry, J. Pure Appl. Algebra20 (1981), 55-70. Zbl0487.18006MR596153
  7. 7 A. Kock, Synthetic Differential Geometry, Cambridge Univ. Press, 1981. Zbl0466.51008MR649622
  8. 8 I. Moerdijk & G.E. Reyes, Smooth spaces versus continuous spaces in models for synthetic differential geometryJ. Pure Appl. Algebra32 (1984). Zbl0535.18003MR741963
  9. 9 M. Bunge & E.J. Dubuc, Local concepts in SDG and germ representability, in: Lopez Escobar, Kueker & Smith (ed.), Mathematical Logic and Theoretical Computer Science, M. Dekker (to appear). Zbl0658.18004MR930679
  10. 10 A. Joyal & G.E. Reyes, Separably real closed local rings, Sydney Category Seminar, June 1982. Zbl0617.18004

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