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Finite dimensionality and separability of the stalks of Banach bundles

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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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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia

    A. E. Gutman

  2. Sobolev Institute of Mathematics, Novosibirsk, Russia

    A. V. Koptev

Authors
  1. A. E. Gutman
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  2. A. V. Koptev
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Correspondence to A. E. Gutman.

Additional information

Original Russian Text Copyright © 2014 Gutman A.E. and Koptev A.V.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 55, No. 2, pp. 304–314, March–April, 2014.

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Gutman, A.E., Koptev, A.V. Finite dimensionality and separability of the stalks of Banach bundles. Sib Math J 55, 246–253 (2014). https://doi.org/10.1134/S0037446614020074

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  • DOI: https://doi.org/10.1134/S0037446614020074

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