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continuous selection of

Let a continuum X$, a compact space Y$ and a function F: X \to 2^Y$ be given. A function f: X \to Y$ is called a continuous selection of F$ provided that it is continuous and f(x) \in F(x)$ for each x\in X$.
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Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30