Advertisement

Synthetic reasoning and variable sets

  • Gonzalo E. Reyes
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1174)

Keywords

Local Ring Natural Transformation Nilpotent Element Strict Order Mathematical Society Lecture Note Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    M. Artin, A. Grothendieck, and J. L. Verdier, (1972) Théorie des topos et cohomologie étale des schémas (SGA 4), Vol. 1, Lecture Notes in Math. 269, Springer-Verlag.Google Scholar
  2. [2]
    L. Bélair and G. E. Reyes (1982), Calcul Infinitésimal en Géometrie Différentielle Synthétique, to appear in Proc. First Symposium of Chilean Mathematicians (Valparaiso 1981).Google Scholar
  3. [3]
    E. Cartan (1951), Leçons sur la Géometrie des espaces de Riemann, Gauthier-Villars.Google Scholar
  4. [4]
    G. Darboux (1887–1896), Leçons sur la théorie des surfaces, Gauthier-Villars.Google Scholar
  5. [5]
    E. J. Dubuc (1979), Sur les modèles de la Géometrie Différentielle Synthétique, Cahiers de Top. et Géom. Diff. 20 (1979), 231–279.MathSciNetzbMATHGoogle Scholar
  6. [6]
    E. J. Dubuc, C-schemes, American Journ. Math. 103, (1981).Google Scholar
  7. [7]
    A. Joyal and G. E. Reyes, Separable real closed local rings, to appear in Proc. of the V Symposium of Logic in Latin America (Botatá 1981).Google Scholar
  8. [8]
    A. Kock (Ed. 1979), Topos theoretic methods in geometry, Aarhus Math. Inst. Var. Publ. Series No. 30.Google Scholar
  9. [9]
    A. Kock (1981), Synthetic Differential Geometry, London Mathematical Society Lecture Notes Series 51, Cambridge University Press.Google Scholar
  10. [10]
    S. Lie (1876), Allgemeine Theorie der partiellen Differentialgleichungen erster Ordnung, Math. Ann. 9 (186), 245–296.MathSciNetzbMATHGoogle Scholar
  11. [11]
    W. Noll (1974), The Foundations of Mechanics and Thermodynamics, Springer-Verlag.Google Scholar
  12. [12]
    Ngo van Quê and G. E. Reyes (1982), Smooth functors and Synthetic Calculus, to appear in the Proc. Brouwer Centenary Conference.Google Scholar
  13. [13]
    G. E. Reyes (1982), Types of infinitesimals, to appear.Google Scholar
  14. [14]
    A. Robinson (1966), Non Standard Analysis, North-Holland.Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Gonzalo E. Reyes
    • 1
  1. 1.Department of MathematicsUniversité de MontréalMontrealCanada

Personalised recommendations