Honors Theses
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
