@article{CTGDC_1988__29_4_257_0, author = {Nel, L. D.}, title = {Categorical differential calculus for infinite dimensional spaces}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, pages = {257--286}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {29}, number = {4}, year = {1988}, mrnumber = {991203}, zbl = {0678.46034}, language = {en}, url = {http://archive.numdam.org/item/CTGDC_1988__29_4_257_0/} }
TY - JOUR AU - Nel, L. D. TI - Categorical differential calculus for infinite dimensional spaces JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 1988 SP - 257 EP - 286 VL - 29 IS - 4 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://archive.numdam.org/item/CTGDC_1988__29_4_257_0/ LA - en ID - CTGDC_1988__29_4_257_0 ER -
%0 Journal Article %A Nel, L. D. %T Categorical differential calculus for infinite dimensional spaces %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 1988 %P 257-286 %V 29 %N 4 %I Dunod éditeur, publié avec le concours du CNRS %U http://archive.numdam.org/item/CTGDC_1988__29_4_257_0/ %G en %F CTGDC_1988__29_4_257_0
Nel, L. D. Categorical differential calculus for infinite dimensional spaces. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 29 (1988) no. 4, pp. 257-286. http://archive.numdam.org/item/CTGDC_1988__29_4_257_0/
1 The various definitions of the derivative in linear topological spaces. Russian Math. Surveys 23 (1968) 67-113. | Zbl
and :2 Applications différentiables et variétés différentiable de dimension infini, J. Analyse Math. 13 (1964) 1-114. | MR | Zbl
,3 Continuous convergence on C(X), Lecture Notes in Math. 469 (Springer, Berlin, 1975). | MR | Zbl
,4 Über die c-Reflexivität von Cc(X), Comment. Math. Helv.(1972) 92-101. | EuDML | MR | Zbl
,5 Convergences, Ann. Univ. Grenoble 23 (1947/48) 57-112. | EuDML | Numdam | MR | Zbl
,6 Linear spaces and differentiation theory (J. Wiley, New York, 1988?) | MR | Zbl
and ,7 The inverse function theorem of Nash and Moser, Bull. Amer. Math. Soc. (1982) 65-222. | MR | Zbl
,8 Category Theory (Heldermann, Berlin, 1979). | MR | Zbl
and ,9 Ueber Probleme, die bei einer Differentialrechnung in topologischen Vektorräumen auftreten. Festband z. 70. Geburtstag v. Rolf Nevanlinna, (Springer Berlin 1966) 49-57. | MR | Zbl
,10 Differential Calculus in Locally Convex Spaces, Lecture Notes in Math. 417 (Springer, Berlin, 1974). | MR | Zbl
,11 A convenient setting for holomorphy, Cahiers de topologie et géometrie différentielle catégoriques 26 (1985) 273-309. | Numdam | MR | Zbl
and ,12 Convenient vector spaces of smooth functions Math. Nachr. (to appear). | MR | Zbl
and ,13 Convenient topological algebra and reflexive objects, Categorical Topology, Proc. Int. Conf. Berlin 1978, Lecture Notes in Math. (Springer) 719 (1979) 259-276. | MR | Zbl
,14 Enriched algebraic structures with applications in Functional Analysis, Categorical Aspects of Topology and Analysis, Proc. Int. Conf. Carleton Univ.1980, Lecture Notes in Math. (Springer) 915 (1982) 247-259. | MR | Zbl
,15 Topological universes and smooth Gelfand-Naimark duality, Mathematical applications of category theory, Proc. A. M. S. Spec. Session Denver, 1983, Contemporary Mathematics 30 (1984) 224-276. | MR | Zbl
,16 Upgrading functional analytic categories, Proc. Toledo Int. Conf. 1983 (Heldermann, Berlin, 1984) 408-424. | MR | Zbl
,17 Enriched locally convex structures, calculus and Riesz representations, J. Pure Appl. Algebra 42 (1986) 165-184. | MR | Zbl
,18 Optimal subcategories and Stone-Weierstrass, Topology and Appl. 27 (1987) 191-200. | MR | Zbl
,19 A convenient setting for differential calculus, J. Pure Appl. Algebra 14 (1979) 73-100. | MR | Zbl
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