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Titlebook: Continuous Selections of Multivalued Mappings; Dušan Repovš,Pavel Vladimirovič Semenov Book 1998 Springer Science+Business Media Dordrecht

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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.
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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.
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Dirk Berg-Schlosser,Ferdinand Müller-Rommel(2.4). The value of a continuous singlevalued selection of a given convex-valued mapping will be constructed as the value of an integral (or the barycenter) of a continuous selection of some closed-valued mapping, with respect to a probability measure, defined on some 0-dimensional compactum. This a
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Dirk Berg-Schlosser,Ferdinand Müller-Rommeled mapping and for a range with some special restrictions; namely, Banach spaces or, in other words, spaces with a “good” combination of metric and convex structures. The second one, Zero-dimensional theorem (2.4), works for an . completely metrizable range and for a zero-dimensional paracompact dom
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