A Brief Survey of Hyperspaces and a Construction of a Whitney Map
Type of Degreethesis
Mathematics and Statistics
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This paper is a brief survey of hyperspaces of topological spaces. In particular, the hyperspace of all nonempty compact subsets of a space and the hyperspace of all nonempty subcontinua of a space with the Vietoris topology. An example of a Whitney map on the hyperspace of any metric space is then constructed.