A Brief Exploration of the Sorgenfrey Line and the Lexicographic Order
Type of DegreeThesis
Mathematics and Statistics
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The author will compare properties of the usual topology on the real line with the properties of the Sorgenfrey Line. After that she will look at properties of the Lexiographic Order on the reals cross [0,1]. The main properties of interest will be the separation properties, along with compact and connected subsets.