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Sibirskii Matematicheskii Zhurnal, 2014, Volume 55, Number 2, Pages 304–314 (Mi smj2534)  
This article is cited in 2 scientific papers (total in 2 papers)

Finite dimensionality and separability of the stalks of Banach bundles

A. E. Gutmanab, A. V. Koptevba

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (332 kB) Citations (2)
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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.
Keywords: continuous Banach bundle, ample hull, extremally disconnected compact space, $\sigma$-isolated point.
Received: 17.12.2013
English version:
Siberian Mathematical Journal, 2014, Volume 55, Issue 2, Pages 246–253
DOI: https://doi.org/10.1134/S0037446614020074
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. E. Gutman, A. V. Koptev, “Finite dimensionality and separability of the stalks of Banach bundles”, Sibirsk. Mat. Zh., 55:2 (2014), 304–314; Siberian Math. J., 55:2 (2014), 246–253
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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