Introduction to synthetic differential geometry, and a synthetic theory of dislocations

  • Anders Kock
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1174)


Burger Vector Classical Logic Differential Calculus Neighbour Relation Synthetic Theory 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    B. A. Bilby, Continuous distribution of dislocations, Progr. in solid mechanics 1 (1959).Google Scholar
  2. 2.
    E. J. Dubuc, Sur les modèles de la géometrie differentielle synthétique, Cahiers de top. et géom. diff. 20 (1979), 231–279.MathSciNetzbMATHGoogle Scholar
  3. 3.
    E. J. Dubuc, C-schemes, American Journ. Math. 103 (1981), 683–690.MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    E. J. Dubuc and A. Kock, On 1-form classifiers, Aarhus Preprint Series 1981/82 No. 39.Google Scholar
  5. 5.
    A. Kock, Differential forms with values in groups (preliminary report), Cahiers de top. et géom diff. 22 (1981), 141–148.MathSciNetzbMATHGoogle Scholar
  6. 6.
    A. Kock, Differential forms with values in groups, Bull. Austr. Math. Soc. 25 (1982), 357–386.MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    A. Kock, Synthetic differential geometry, London Math. Soc. Lecture Notes Series, 51, Cambridge University Press 1981.Google Scholar
  8. 8.
    A. Kock, A combinatorial theory of connections, Aarhus Preprint Series 1981/82 No. 24.Google Scholar
  9. 9.
    A. Kock and G. E. Reyes, Doctrines in categorical logic, in Hand-book of mathematical logic (ed. J. Barwise), North Holland Publishing Company 1977.Google Scholar
  10. 10.
    A. Kock and G. E. Reyes, Models for synthetic integration theory, Math. Scand. 48 (1981), 145–152.MathSciNetzbMATHGoogle Scholar
  11. 11.
    E. Kröner, Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen, Arch. Rational Mech. Anal. 4 (1960), 273–334.MathSciNetCrossRefzbMATHGoogle Scholar
  12. 12.
    W. Noll, Materially uniform simple bodies with inhomogeneities, Arch. Rational Mech. Anal. 27 (1967), 1–32.MathSciNetCrossRefzbMATHGoogle Scholar
  13. 13.
    G. E. Reyes, this volume.Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Anders Kock
    • 1
  1. 1.Department of MathematicsAarhus UniversityAarhusDenmark

Personalised recommendations