@article{CTGDC_1984__25_3_311_0, author = {Kock, A. and Lavendhomme, R.}, title = {Strong infinitesimal linearity, with applications to strong difference and affine connections}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, pages = {311--324}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {25}, number = {3}, year = {1984}, mrnumber = {786554}, zbl = {0564.18009}, language = {en}, url = {http://www.numdam.org/item/CTGDC_1984__25_3_311_0/} }
TY - JOUR AU - Kock, A. AU - Lavendhomme, R. TI - Strong infinitesimal linearity, with applications to strong difference and affine connections JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 1984 SP - 311 EP - 324 VL - 25 IS - 3 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://www.numdam.org/item/CTGDC_1984__25_3_311_0/ LA - en ID - CTGDC_1984__25_3_311_0 ER -
%0 Journal Article %A Kock, A. %A Lavendhomme, R. %T Strong infinitesimal linearity, with applications to strong difference and affine connections %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 1984 %P 311-324 %V 25 %N 3 %I Dunod éditeur, publié avec le concours du CNRS %U http://www.numdam.org/item/CTGDC_1984__25_3_311_0/ %G en %F CTGDC_1984__25_3_311_0
Kock, A.; Lavendhomme, R. Strong infinitesimal linearity, with applications to strong difference and affine connections. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 25 (1984) no. 3, pp. 311-324. http://www.numdam.org/item/CTGDC_1984__25_3_311_0/
1 Objet infinitésimalement linéaire dans un modèle adapté de GDS, in: Géométrie Différentielle Synthétique, ed. G. Reyes, Rapport de Recherches. DMS 80-12, Univ. de Montréal: 1980.
,2 On connections, geodesics and sprays in synthetic differential geometry, Cahiers Top. et Géom. Diff., this issue ; preliminary version in: Category Theoretic Methods in Geometry, Aarhus Var. Publ. Series 35 (1983). | EuDML | MR | Zbl
& ,3 Properties of well-adapted models for synthetic differential geometry, J. Pure Appl. Algebra 20 (1981), 55-70. | MR | Zbl
,4 Synthetic differential geometry, London Math. Soc., Lecture Notes Series 51, Cambridge 1981. | MR | Zbl
,5 Remarks on connections and sprays, in: Category Theoretic Methods in Geometry, Aarhus Var. Publ. Ser. 35 (1983). | MR | Zbl
,6 Manifolds in formal differential geometry, in:Applications of Sheaves, Lecture Notes in Math. 753, Springer (1979). | MR | Zbl
& ,7 Connections in formal differential, geometry, in: Topos Theoretic Methods in Geometry, Aarhus Var. Publ. Ser. 30 (1979). | MR | Zbl
& ,8 Forms and integration in synthetic differential geometry, Aarhus Preprint Series 31, 1979 -80. | MR | Zbl
, & ,9 Fundamental vector fields on associated fibre bundles, Casopis pro pest. mat. 102 (1977), 419-425. | EuDML | MR | Zbl
,10 On the second tangent bundle and generalized Lie derivatives, Tensor N.S. 38 (1982), 98-102. | MR | Zbl
,11 Notes sur l'algèbre de Lie d'un groupe de Lie en geometrie différentielle synthétique, Rapport 111, Inst. de Math., Louvain-La-Neuve (1981).
,12 Sur la géométrie des prolongements des espaces fibrés vectoriels, Ann. Inst. Fourier, Grenoble 14 (1964), 145-172. | Numdam | MR | Zbl
,13 A note on tangent bundles in a category with a ring object, Math. Scand. 42 (1978), 53-63. | MR | Zbl
& ,14 The method of iterated tangents, with applications in local Riemannian geometry, Pitman 1982. | MR | Zbl
,