no. 3
Synthetic differential geometry of higher-order total differentials
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 47 (2006) no. 3, pp. 207-232.
corrigé par Erratum 
@article{CTGDC_2006__47_3_207_0,
     author = {Nishimura, Hirokazu},
     title = {Synthetic differential geometry of higher-order total differentials},
     journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
     pages = {207--232},
     publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
     volume = {47},
     number = {3},
     year = {2006},
     mrnumber = {2268377},
     zbl = {05073393},
     language = {en},
     url = {http://www.numdam.org/item/CTGDC_2006__47_3_207_0/}
}
TY  - JOUR
AU  - Nishimura, Hirokazu
TI  - Synthetic differential geometry of higher-order total differentials
JO  - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY  - 2006
SP  - 207
EP  - 232
VL  - 47
IS  - 3
PB  - Dunod éditeur, publié avec le concours du CNRS
UR  - http://www.numdam.org/item/CTGDC_2006__47_3_207_0/
LA  - en
ID  - CTGDC_2006__47_3_207_0
ER  - 
%0 Journal Article
%A Nishimura, Hirokazu
%T Synthetic differential geometry of higher-order total differentials
%J Cahiers de Topologie et Géométrie Différentielle Catégoriques
%D 2006
%P 207-232
%V 47
%N 3
%I Dunod éditeur, publié avec le concours du CNRS
%U http://www.numdam.org/item/CTGDC_2006__47_3_207_0/
%G en
%F CTGDC_2006__47_3_207_0
Nishimura, Hirokazu. Synthetic differential geometry of higher-order total differentials. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 47 (2006) no. 3, pp. 207-232. http://www.numdam.org/item/CTGDC_2006__47_3_207_0/

[1] Goerss, P.G. and Jardine, J.F.: Simplicial Homotopy Theory, Progress in Mathematics, 174, Birkhäuser, Basel, 1999. | MR | Zbl

[2] Kock, A.: A simple axiomatics for differentiation, Math. Scand., 40 (1977), 183-193. | EuDML | MR | Zbl

[3] Kock, A.: Taylor series calculus for ring objects of line type, Journal of Pure and Applied Algebra, 12 (1978), 271-293. | MR | Zbl

[4] Kock, A.: Synthetic Differential Geometry, London Mathematical Society Lecture Note Series, 51, Cambridge University Press, Cambridge, 1981. | MR | Zbl

[5] Lavendhomme, R.: Basic Concepts of Synthetic Differential Geometry, Kluwer, Dordrecht, 1996. | MR | Zbl

[6] Libermann, P.: Sur les prolongements de fibrés principaux et des groupoïdes différentiables banachiques, Analyse Globale, 7-108, Presses Univ. Montréal, Montréal, Quebec, 1971. | MR | Zbl

[7] Moerdijk, I. and Reyes, G.E.: Models for Smooth Infinitesimal Analysis, Springer-Verlag, New York, 1991. | MR | Zbl

[8] Navarro, J.A. and Sancho De Salas, J.B.: C∞-Differentiable Spaces, Lecture Notes in Mathematics, 1824, Springer-Verlag, Berlin and Heidelberg, 2003. | Zbl

[9] Nishimura, H.: Theory of microcubes, International Journal of Theoretical Physics, 36 (1997), 1099-1131. | MR | Zbl

[10] Nishimura, H.: Synthetic differential geometry of jet bundles, Bull. Belg. Math. Soc. Simon Stevin, 8 (2001), 639-650. | MR | Zbl

[11] Nishimura, H.: Corrigenda to "Synthetic differential geometry of jet bundles", Bull. Belg. Math. Soc. Simon Stevin, 9 (2002), 473. | MR | Zbl

[12] Nishimura, H.: Holonomicity in sythetic differential geometry of jet bundles, Beiträge zur Algebra und Geometrie, 44 (2003), 471-481. | MR | Zbl

[13] Nishimura, H.: Higher-order preconnections in synthetic differential geometry of jet bundles, Beiträge zur Algebra und Geometrie, 45 (2004), 677-696. | MR | Zbl

[14] Saunders, D.J.: The Geometry of Jet Bundles, London Mathematical Society Lecture Note Series, 142, Cambridge University Press, Cambridge, 1989. | MR | Zbl