A Stone Duality Between Finite Hypergraphs and FCTH-Lattices
A Stone Duality Between Finite Hypergraphs and FCTH-Lattices
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Date
2020
Authors
Elrod, Stephen Jacob
Journal Title
Journal ISSN
Volume Title
Publisher
Middle Tennessee State University
Abstract
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.
Description
Keywords
Duality,
Frame,
Hypergraph,
Lattice,
Topology,
Mathematics