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Finite representability in fibers of spacious Banach bundles. (Russian) Zbl 1299.46015

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.)
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