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Keywords:
l.s.c. map; selection; space of probability measures
l.s.c. map; selection; space of probability measures
Summary:
A negative answer to a question of E.A. Michael is given: A convex $G_\delta$-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.
References:
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[7] Hilton P.J., Wylie S.: Homology Theory. Cambridge University Press, New York, 1960. MR 0115161 | Zbl 0163.17803
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