MERIT
发表于 2025-3-26 21:51:13
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OTTER
发表于 2025-3-27 04:55:29
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squander
发表于 2025-3-27 08:56:09
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抱负
发表于 2025-3-27 11:05:47
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割让
发表于 2025-3-27 16:33:59
Vertriebstagungen perfekt organisierenr, in that example the family {.(.)}, . ∈ ., was not an ELC.-family of subsets of the Euclidean plane. A more sophisticated example of Pixley (see ., §6) shows that for an infinite-dimensional domain (namely, for the Hilbert cube .) it is possible to find a lower semicontinuous map . with {.(.)}, .
BOGUS
发表于 2025-3-27 19:17:09
,Kleines Brevier für Diskussionsleiter,any selection problem is purely a topological question. However, all known solutions of selection problems use a suitable metric structure of the range of the multivalued mapping, i.e. “metric” proofs yield “topological” answers. So, a very natural question arises: .
bronchiole
发表于 2025-3-27 22:14:54
Rainer M. Mohr,Andreas Schillingse modern point of view such a problem evidently is a special case of a selection problem: find a selection of multivalued mapping . ↦ {y ∈ . | .(., .) = 0}. This problem was originally started without using any “selection” terms and goes back to Hadamard and Lusin.
endure
发表于 2025-3-28 04:22:51
Christoph Kalwa,Stefan Steinbergmong them are Banach-valued version of the Dugundji extension theorem, the Bartle-Graves theorem, Kadec’s solution of the homeomorphism problem for Banach spaces, the Mazurkiewicz theorem, paracompactness of CW-complexes, on continuous choice in the continuity type definitions, etc.
免除责任
发表于 2025-3-28 08:33:27
,Der Vermögensverwaltungsprozess,f there is a number 0 ≤ γ < 1 such that inequality . holds, for every pair of points ., .′ ∈ .. The Banach fixed-point theorem states that every contraction .: . → . of a complete metric space (., .) into itself has a point . ∈ . such that . Such a point . is called a . of the mapping .. Moreover, i
弯腰
发表于 2025-3-28 10:57:40
https://doi.org/10.1007/978-3-322-87092-6mple, the Banach space of continuous functions on the cube .., the space of diffeomorphisms of the sphere .., etc. Among such examples, the groups .(.) of all self-homeomorphisms of an .-dimensional compact manifolds stand at the top. An intensive study of .(.) started in the mid 1950’s, accordingly