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A Stone Duality between Finite Hypergraphs and FCTH-Lattices
by Elrod, Jake, M.S., Middle Tennessee State University, 2020, 95; 28026800
Abstract (Summary)
In this thesis we examine the relationship between hypergraphs and specialized frames called CTH-lattices. We find that these objects (under a finite context) and their associated homomorphisms form a duality, and therefore, are strongly related to each other.
| Advisor: | Hart, James |
| Commitee: | Stephens, Chris, Sarkar, Medha |
| School: | Middle Tennessee State University |
| Department: | College of Basic & Applied Sciences |
| School Location: | United States -- Tennessee |
| Source: | MAI 82/2(E), Masters Abstracts International |
| Source Type: | DISSERTATION |
| Subjects: | Mathematics |
| Keywords: | Duality, Frame, Hypergraph, Lattice, Topology |
| Publication Number: | 28026800 |
| ISBN: | 9798662568679 |
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