Manifolds of smooth maps III : the principal bundle of embeddings of a non-compact smooth manifold
P. Michor (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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P. Michor (1980)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Goel, Sudhir K. (1987)
International Journal of Mathematics and Mathematical Sciences
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Bich, Philippe, Cornet, Bernard (2004)
Fixed Point Theory and Applications [electronic only]
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Włodzimierz Waliszewski (1985)
Časopis pro pěstování matematiky
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A. A. Agrachev, M. Caponigro (2009)
Annales de l'I.H.P. Analyse non linéaire
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Michael Kunzinger, Eduard Nigsch (2011)
Commentationes Mathematicae Universitatis Carolinae
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We introduce the notion of generalized function taking values in a smooth manifold into the setting of full Colombeau algebras. After deriving a number of characterization results we also introduce a corresponding concept of generalized vector bundle homomorphisms and, based on this, provide a definition of tangent map for such generalized functions.