@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},
year = {2006},
publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
volume = {47},
number = {3},
mrnumber = {2268377},
zbl = {05073393},
language = {en},
url = {https://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 - https://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 https://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. https://www.numdam.org/item/CTGDC_2006__47_3_207_0/
[1] and : Simplicial Homotopy Theory, Progress in Mathematics, 174, Birkhäuser, Basel, 1999. | Zbl | MR
[2] : A simple axiomatics for differentiation, Math. Scand., 40 (1977), 183-193. | Zbl | MR | EuDML
[3] : Taylor series calculus for ring objects of line type, Journal of Pure and Applied Algebra, 12 (1978), 271-293. | Zbl | MR
[4] : Synthetic Differential Geometry, London Mathematical Society Lecture Note Series, 51, Cambridge University Press, Cambridge, 1981. | Zbl | MR
[5] : Basic Concepts of Synthetic Differential Geometry, Kluwer, Dordrecht, 1996. | Zbl | MR
[6] : Sur les prolongements de fibrés principaux et des groupoïdes différentiables banachiques, Analyse Globale, 7-108, Presses Univ. Montréal, Montréal, Quebec, 1971. | Zbl | MR
[7] and : Models for Smooth Infinitesimal Analysis, Springer-Verlag, New York, 1991. | Zbl | MR
[8] and : C∞-Differentiable Spaces, Lecture Notes in Mathematics, 1824, Springer-Verlag, Berlin and Heidelberg, 2003. | Zbl
[9] : Theory of microcubes, International Journal of Theoretical Physics, 36 (1997), 1099-1131. | Zbl | MR
[10] : Synthetic differential geometry of jet bundles, Bull. Belg. Math. Soc. Simon Stevin, 8 (2001), 639-650. | Zbl | MR
[11] : Corrigenda to "Synthetic differential geometry of jet bundles", Bull. Belg. Math. Soc. Simon Stevin, 9 (2002), 473. | Zbl | MR
[12] : Holonomicity in sythetic differential geometry of jet bundles, Beiträge zur Algebra und Geometrie, 44 (2003), 471-481. | Zbl | MR
[13] : Higher-order preconnections in synthetic differential geometry of jet bundles, Beiträge zur Algebra und Geometrie, 45 (2004), 677-696. | Zbl | MR
[14] : The Geometry of Jet Bundles, London Mathematical Society Lecture Note Series, 142, Cambridge University Press, Cambridge, 1989. | Zbl | MR





