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On a question of E.A. Michael

Vladimir V. Filippov — 2004

Commentationes Mathematicae Universitatis Carolinae

A negative answer to a question of E.A. Michael is given: A convex $G_{δ}$ -subset $Y$ of a Hilbert space is constructed together with a l.s.c. map $Y \to Y$ having closed convex values and no continuous selection.

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