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Part of the book series: Kluwer Texts in the Mathematical Sciences ((TMS,volume 13))

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Abstract

We encountered in 1.1 various small objects, the most typical and simple one being D. We intend to indicate in this section a more algebraic view of these small objects.

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Commented bibliography

  1. WEIL, A., Théorie des points proches sur les variétés différentiables, in Conference Geom. Diff., Strasbourg, 1953, took up again in “Oeuvres scientifiques, collected papers”, vol. II, Springer 1979, 103–109.

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  2. DUBUC, E.J., Sur les modèles de la géométrie différentielle synthétique, Cahiers Top. et Géom. diff. 20 (1979), 231–279.

    MathSciNet  MATH  Google Scholar 

  3. DUBUC, E.J., and REYES, G.E., Subtoposes of the ring classifier, in ([25]), 101–122.

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  4. KOCK, A., Synthetic Differential Geometry, London Math. Soc. Lect. Note Series 51, Cambridge Univ. Press, 1981.

    Google Scholar 

  5. BERGERON, F., Objet infinitésimalement linéaire dans un modèle bien adapté de G.D.S., in Géométrie Différentielle synthétique, Section 2, Analysis in smooth topos, edited by G.E. REYES, Research report, Montréal, (1980), 67–76.

    Google Scholar 

  6. KOCK, A., and LAVENDHOMME, R., Strong infinitesimal linearity, with applications to strong difference and affine connections, Cahiers Top. Geom. diff. 25 (1984), 311–324.

    MathSciNet  MATH  Google Scholar 

  7. KOCK, A., Synthetic Differential Geometry, London Math. Soc. Lect. Note Series 51, Cambridge Univ. Press, 1981.

    Google Scholar 

  8. REYES, G.E., and WRAITH, G.E., A note on tangent bundle in a category with a ring object, Math. Scand. 42 (1978), 53–63.

    MathSciNet  MATH  Google Scholar 

  9. KOCK, A., On the synthetic theory of vector fields,in [25], 139–157.

    Google Scholar 

  10. GODBILLON, C., Géométrie différentielle et mécanique analytique, Paris, Hermann, 1969.

    Google Scholar 

  11. BUNGE, M., and SAWYER, P., On connections, geodesics and sprays in synthetic differential geometry,Cahier Top. Géom. Diff., 25 (1984), 221–258 (preprinted in ([26])).

    Google Scholar 

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© 1996 Springer Science+Business Media Dordrecht

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Lavendhomme, R. (1996). Weil algebras and infinitesimal linearity. In: Basic Concepts of Synthetic Differential Geometry. Kluwer Texts in the Mathematical Sciences, vol 13. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-4588-7_2

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  • DOI: https://doi.org/10.1007/978-1-4757-4588-7_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-4756-7

  • Online ISBN: 978-1-4757-4588-7

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