Domain Representability and Topological Completeness

Author(s)

Matthew D. DeVilbiss, University of Dayton

Advisor

Lynne Yengulalp

Department

Mathematics

Publication Date

Spring 4-2016

Document Type

Honors Thesis

Abstract

Topological completeness properties seek to generalize the definition of complete metric space to the context of topologies. Chapter 1 gives an overview of some of these properties. Chapter 2 introduces domain theory, a field originally intended for use in theoretical computer science. Finally, Chapter 3 examines how this computer-scientific notion can be employed in the study of topological completeness in the form of domain representability. The connections between domain representability and other topological completeness properties are subsequently examined.

Permission Statement

This item is protected by copyright law (Title 17, U.S. Code) and may only be used for noncommercial, educational, and scholarly purposes.

Keywords

Undergraduate research

Disciplines

Geometry and Topology | Mathematics | Physical Sciences and Mathematics

eCommons Citation

DeVilbiss, Matthew D., "Domain Representability and Topological Completeness" (2016). Honors Theses. 84.
https://ecommons.udayton.edu/uhp_theses/84