Good coverings for section spaces of fibre bundles |
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| Authors: | Mauro Spera Tilmann Wurzbacher |
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| Affiliation: | a Dipartimento di Informatica, Università degli Studi di Verona, Ca' Vignal 2 - Strada le Grazie 15, I-37134 Verona, Italy
b Laboratoire de Mathématiques, et Applications de Metz, Université Paul Verlaine-Metz et C.N.R.S., Ile du Saulcy, F-57045 Metz, France |
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| Abstract: | In this note, existence of good coverings for section spaces of smooth fibre bundles is shown by resorting to the Riemannian geometry of the L2-metric, via the construction of strongly convex neighbourhoods, in close analogy with the finite dimensional case. |
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| Keywords: | primary, 58D15, 46T10, 54D20, 53C21 secondary, 58B20, 55N30 |
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