Keywords
- Convex Space
- Forgetful Functor
- Smooth Structure
- Convex Topology
- Smooth Space
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References
J. Bochnak and J. Siciak: "Analytic functions in topological vector spaces" Studia Math. 39, 1971, p. 77–112
J. Boman: "Differentiability of a function and of its compositions with functions of one variables", Math. Scand. 20, 1967, p. 249–268.
A. Frölicher: "Durch Monoide erzeugte kartesisch abgeschlossene Kategorien", Seminarberichte aus dem Fachber. Math. der Fernuniversität Hagen 5, 1979, p. 7–48.
A. Frölicher: "Catégories carésiennement fermées engendrées par des monoîdes", Cahiers de Top. et Géom. diff. XXI/4, 1980, p. 367–375.
A. Frölicher: "Applications lisses entre espaces et variétés de Fréchet" C.R. Ac. Sci. Paris 293, 1981, p. 125–127.
A. Frölicher and W. Bucher: "Calculus in Vector Spaces without Norm", Lecture Notes in Math. 30, Springer 1966.
R.M. Hain: "A characterization of smooth functions defined on a Banach space", Proc. Am. Math. Soc. 77, 1979, p. 63–67.
H. Hogbe-Nlend: "Bornologies and functional analysis", Mathematics Studies 26, North-Holland 1977.
H. Jarchow: "Locally convex Spaces", Teubner 1981.
H.H. Keller: "Differential Calculus in locally convex spaces", Lecture Notes in Math. 417, Springer 1974.
A. Kriegl: "Eine Theorie glatter Mannigfaltigkeiten und Vekorbündel", Dissertation, Wien 1980.
F.W. Lawvere, S.H. Schanuel and W.R. Zame: "On C∞ Function Spaces", Preprint 1981.
N. Van Que and G. Reyes: "Théorie des distributions et théorèmes d'extension de Whitney", Exposé 8, Géom. diff. synth. fasc. 2, Rapport de Recherches DMS 80-12, Université de Montréal 1980.
U. Seip: "A convenient Setting for Smooth Manifolds". J. of pure and appl. Algebra 21, 1981, p. 279–305.
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© 1982 Springer-Verlag
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Frölicher, A. (1982). Smooth structures. In: Kamps, K.H., Pumplün, D., Tholen, W. (eds) Category Theory. Lecture Notes in Mathematics, vol 962. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066887
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DOI: https://doi.org/10.1007/BFb0066887
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