Keywords
- 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.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
B. A. Bilby, Continuous distribution of dislocations, Progr. in solid mechanics 1 (1959).
E. J. Dubuc, Sur les modèles de la géometrie differentielle synthétique, Cahiers de top. et géom. diff. 20 (1979), 231–279.
E. J. Dubuc, C∞-schemes, American Journ. Math. 103 (1981), 683–690.
E. J. Dubuc and A. Kock, On 1-form classifiers, Aarhus Preprint Series 1981/82 No. 39.
A. Kock, Differential forms with values in groups (preliminary report), Cahiers de top. et géom diff. 22 (1981), 141–148.
A. Kock, Differential forms with values in groups, Bull. Austr. Math. Soc. 25 (1982), 357–386.
A. Kock, Synthetic differential geometry, London Math. Soc. Lecture Notes Series, 51, Cambridge University Press 1981.
A. Kock, A combinatorial theory of connections, Aarhus Preprint Series 1981/82 No. 24.
A. Kock and G. E. Reyes, Doctrines in categorical logic, in Hand-book of mathematical logic (ed. J. Barwise), North Holland Publishing Company 1977.
A. Kock and G. E. Reyes, Models for synthetic integration theory, Math. Scand. 48 (1981), 145–152.
E. Kröner, Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen, Arch. Rational Mech. Anal. 4 (1960), 273–334.
W. Noll, Materially uniform simple bodies with inhomogeneities, Arch. Rational Mech. Anal. 27 (1967), 1–32.
G. E. Reyes, this volume.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag
About this paper
Cite this paper
Kock, A. (1986). Introduction to synthetic differential geometry, and a synthetic theory of dislocations. In: Categories in Continuum Physics. Lecture Notes in Mathematics, vol 1174. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076934
Download citation
DOI: https://doi.org/10.1007/BFb0076934
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16096-0
Online ISBN: 978-3-540-39760-1
eBook Packages: Springer Book Archive
