Continuous selections on spaces of continuous functions
Angel Tamariz-Mascarúa (2006)
Commentationes Mathematicae Universitatis Carolinae
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For a space , we denote by , and the hyperspaces of non-empty closed, compact, and subsets of cardinality of , respectively, with their Vietoris topology. For spaces and , is the space of continuous functions from to with its pointwise convergence topology. We analyze in this article when , and have continuous selections for a space of the form , where is zero-dimensional and is a strongly zero-dimensional metrizable space. We prove that is weakly orderable...