Gutman, A. E.; Koptev, A. V.; Popov, A. I. Finite representability in fibers of spacious Banach bundles. (Russian) Zbl 1299.46015 Vladikavkaz. Mat. Zh. 7, No. 1, 39-45 (2005). Summary: We prove that the fibers of spacious continuous Banach bundles inherit (and in some cases strengthen) the finite representability of a normed space in ‘neighboring’ fibers. The properties obtained can be regarded as analogues of the corresponding properties of ultraproducts of Banach spaces. MSC: 46B07 Local theory of Banach spaces 46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) Keywords:Banach space; isometric embedding; Banach bundle PDFBibTeX XMLCite \textit{A. E. Gutman} et al., Vladikavkaz. Mat. Zh. 7, No. 1, 39--45 (2005; Zbl 1299.46015) Full Text: MNR