Hyperspaces and Function Graphs in Digital Topology
Laurence Boxer
TL;DR
This paper introduces digital hyperspaces and function graphs, adapting classical topological concepts to digital topology, and explores their relationships and properties.
Contribution
It defines digital hyperspaces and function graphs, extending classical topology concepts to the digital setting and analyzing their properties.
Findings
Defined digital hyperspaces and function graphs
Analyzed relationships between digital hyperspaces and graphs
Explored graphical properties in digital topology
Abstract
We adapt the study of hyperspaces and function spaces from classical topology to digital topology. We define digital hyperspaces and digital function graphs, and study some of their relationships and graphical properties.
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Taxonomy
TopicsDigital Image Processing Techniques · Computability, Logic, AI Algorithms · Cognitive Computing and Networks