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Weak factorizations of continuous set-valued mappings

✍ Scribed by Valentin G. Gutev

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 172 KB
Volume: 102
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(98)00139-4

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✦ Synopsis

The paper is devoted to a general factorization theorem for "continuous" set-valued mappings defined on arbitrary topological spaces. This result fits naturally into the selection theory showing that several known selection theorems remain valid under minimal hypotheses. Also, the result is successful in proving new theorems for the existence of selections on spaces of closed subsets.

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