Finite dimensionality and separability of the stalks of Banach bundles |
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Authors: | A E Gutman A V Koptev |
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Institution: | 1. Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia 2. Sobolev Institute of Mathematics, Novosibirsk, Russia
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Abstract: | Topological characteristics are studied of the set of points at which the stalks of an ample Banach bundle over an extremally disconnected compact space are finite-dimensional or separable. Some connection is established between finite dimensionality or separability of the stalks of a bundle and the analogous properties of the stalks of the ample hull of the bundle. We obtain a new criterion for existence of a dual bundle. |
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