This Is AuburnElectronic Theses and Dissertations

A Brief Survey of Hyperspaces and a Construction of a Whitney Map

Date

2009-08-03

Author

O'Neill, Sean

Type of Degree

thesis

Department

Mathematics and Statistics

Abstract

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.